Explanation Calculation: Given, t = 3 π 4 By the definition of trigonometric functions, x = cos t x = cos ( 3 π 4 ) x = − 2 2 Also, y = sin t y = sin ( 3 π 4 ) y = 2 2 Then, tan t = y x , x ≠ 0 Here, x = − 2 2 , and y = 2 2 Thus, tan ( 3 π 4 ) = ( 2 2 ) ( − 2 2 ) tan ( 3 π 4 ) = − 1 Then, csc t = 1 y , y ≠ 0 Here, y = 2 2 Thus, csc ( 3 π 4 ) = 1 ( 2 2 ) csc ( 3 π 4

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Chapter 4.CR, Problem 23CR

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The six trigonometric functions at the real number t=3π4.

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The six trigonometric functions at the real number t = 3 π 4 .

Solution Summary: The author evaluates the six trigonometric functions at the real number t=3pi 4.

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To evaluate:

The six trigonometric functions at the real number t=3π4.

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Chapter 4 Solutions

The six trigonometric functions at the real number t = 3 π 4 .

Solution Summary: The author evaluates the six trigonometric functions at the real number t=3pi 4.

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To evaluate: The six trigonometric functions at the real number t=3π4.

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Chapter 4 Solutions

To evaluate:

The six trigonometric functions at the real number t=3π4.