Question

What are the exact values of the six trigonometric functions for negative startfraction 7 pi over 6 endfraction radians?

Answer 1

The exact values are;sin -7π/6 = 0.5; cos -7π/6 = -√3/2; tan -7π/6 = -1/√3; sec -7π/6 = -2/√3; csc -7π/6 =2; cot -7π/6 = -√3

How to work with unit circle of trigonometric functions?

We want to find the six trigonometric functions for  -7π/6 radians.

It should be noted that;

7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6

From the definition of unit circle and applying to what we have here, we can express them as;

sin -7π/6 = 0.5

cos -7π/6 = -√3/2

tan -7π/6 = -1/√3

sec -7π/6 = -2/√3

csc -7π/6 =2

cot -7π/6 = -√3

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