How do you use fundamental identities to find the values of the trigonometric values given tan theta = -12/5 and cos theta> 0?

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How do you use fundamental identities to find the values of the trigonometric values given tan theta = -12/5 and cos theta> 0?

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Answer 1 · 2016-11-11T22:26:00

Find values of trig functions

Explanation:

Consider the right triangle OAB with
OA = 5, and AB = - 12
Hypotenuse #OB = sqrt(25 + 144 = 169) = 13#
Call t the angle < AOB:
#cos t = 5/13 --> sec t = 13/5#
#sin t = -12/13 --> csc t = -13/12#
t#an t = -12/5 --> cot t = - 5/12#

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How do you use fundamental identities to find the values of the trigonometric values given tan theta = -12/5 and cos theta> 0?

1 Answer

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