Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition)

Chapter 8

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; The circumference of a circle is the distance ... more

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; The constant speed is equal to the quotient of... more

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standard form ; An angle is defined by the amount ... more

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central angle ; One of the angles that can be ... more

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1 degree is equal to 1 revolution divided by 360 ... more

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; The formula for the length of the subtended arc... more

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Convert to degrees. ; Convert to radians. ; ... more

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; Linear speed, denoted by  , is the speed of an ... more

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Angular velocity, denoted by , is the speed of ... more

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Linear speed, denoted by  , is the speed of an ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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An angle in standard form has the following ... more

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From the initial side of the angle on a standard ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Since , multiply the angle by and then ... more

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; Rewrite the degree, minute, and second notation... more

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; Rewrite the degree, minute, and second notation... more

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; Rewrite the degree, minute, and second notation... more

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; Rewrite the degree, minute, and second notation... more

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; Rewrite the degree, minute, and second notation... more

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; Rewrite the degree, minute, and second notation... more

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; Rewrite the angle as a sum of its whole number ... more

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; Rewrite the angle as a sum of its whole number ... more

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; Rewrite the angle as a sum of its whole number ... more

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; Rewrite the angle as a sum of its whole number ... more

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; Rewrite the angle as a sum of its whole number ... more

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; Rewrite the angle as a sum of its whole number ... more

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; Substitute the values of and into and then ... more

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, , , , ; Draw a right triangle with an acute ... more

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, , , , ; Draw a right triangle with an acute ... more

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, , , ,     ; Draw a right triangle with an acute... more

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, , , ,     ; Draw a right triangle with an acute... more

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1 ; Use the Pythagorean identity to rewrite in ... more

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1 ; Use the Pythagorean identity to rewrite in ... more

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1 ; Use the reciprocal identity for sine function ... more

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1 ; Use the reciprocal identity for the tangent ... more

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0 ; Write as a ratio of to . ; more

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0 ; Write as a ratio of to . ; more

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0 ; Write the first term as a trigonometric ... more

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0 ; Write the first term as a trigonometric ... more

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1 ; Write the numerator as a trigonometric ... more

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1 ; The two given angles add up to . Use the ... more

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0 ; Write the first 2 terms as trigonometric ... more

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0 ; Write each term as a trigonometric function of... more

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0 ; Write the numerator of the second term as a ... more

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0 ; Write each term as a trigonometric function of... more

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1 ; Write each factor as a trigonometric function ... more

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1 ; Write each factor as a trigonometric function ... more

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1 ; Write each term as a product of trigonometric ... more

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1 ; Write each term as a product of trigonometric ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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1 ; To obtain a positive coterminal angle less ... more

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; To obtain a positive coterminal angle less than... more

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1 ; To obtain a positive coterminal angle less ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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2 ; To obtain a positive coterminal angle less ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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0 ; To obtain a positive coterminal angle less ... more

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1 ; To obtain a positive coterminal angle less ... more

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Quadrant II ; If , then lies in quadrant I or II... more

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Quadrant IV ; If , then lies in quadrant III or ... more

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Quadrant IV ; If , then lies in quadrant III or ... more

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Quadrant I ; If , then lies in quadrant I or IV. ... more

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Quadrant IV ; If , then lies in quadrant I or IV... more

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Quadrant III ; If , then lies in quadrant III or ... more

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Quadrant III ; If , then lies in quadrant II or ... more

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Quadrant II ; If , then lies in quadrant I or II... more

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; To obtain the reference angle of , since , take... more

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; To obtain the reference angle of , since , take... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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1 ; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain the reference angle of , since , ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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0 ; To obtain a non-negative coterminal angle less... more

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1 ; To obtain a non-negative coterminal angle less... more

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0 ; To obtain a positive coterminal angle less ... more

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undefined ; To obtain a positive coterminal angle ... more

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; To obtain a positive coterminal angle less than... more

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; To obtain a positive coterminal angle less than... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and .Since , the value... more

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; Determine the values of and ..Since , the ... more

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; Determine the values of and .Since , the value... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and ..The value of is... more

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; Determine the values of and ..Since , must be... more

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0 ; Find the reference angle of , , and .A ... more

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0 ; Find the reference angle of .A reference angle... more

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1 ; Rewrite the angle as a sum of a multiple of ... more

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; Since the sine functions are odd, . ; Determine... more

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; Since the sine functions are odd, . ; Determine... more

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