SOLUTION: Find the values of each of the other five trigonometric functions for an angle theta (without finding theta) given that theta is in 4th quadrant and sin theta = -4/5

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Question 1061980: Find the values of each of the other five trigonometric functions for an angle theta (without finding theta) given that theta is in 4th quadrant and sin theta = -4/5
Answer by ikleyn(52835) About Me  (Show Source):
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Find the values of each of the other five trigonometric functions for an angle theta (without finding theta)
given that theta is in 4th quadrant and sin theta = -4/5
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In QIV  cos%28theta%29 = sqrt%281-sin%5E2%28theta%29%29 = sqrt%281-%28-4%2F5%29%5E2%29 = 3%2F5

This is the key value.

The rest are

tan%28theta%29 = sin%28theta%29%2Fcos%28theta%29 = %28%28-4%2F5%29%29%2F%28%283%2F5%29%29 = -4%2F3,

cotan%28theta%29 = 1%2Ftan%28theta%29 = -3%2F4,

and so on . . .