If $tan theta = 24/7$ , $180 < theta < 270$ how do you find $cos theta$ ?

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Answer 1 · 2016-06-29T05:43:40

$-7/25$

$theta$ is in the third quadrant wherein tan is positive and both sin

and cos are negative.

$tan theta = 24/7 = sin theta/cos theta =sqrt(1-cos^2theta)/cos theta$

Squaring and solving, $cos theta= +-7/25.$ .

Positive root is inadmissible.

If tan theta = 24/7tan theta = 24/7, 180 < theta < 270180 < theta < 270 how do you find cos thetacos theta?