Evaluate the expression.
-Find $\cos \theta$, given that $\tan \theta = - \frac { 4 } { 3 }$ and $\theta$ is in quadrant II.
A) $\frac { \sqrt { 25 } } { 4 }$
B) $- \frac { \sqrt { 25 } } { 3 }$
C) $\frac { 3 \sqrt { 25 } } { 25 }$
D) $- \frac { 3 \sqrt { 25 } } { 25 }$

Question

Quizplus · Accepted Answer

In quadrant II, cosine is negative. Given $\tan \theta = -\frac{4}{3}$, use the identity $\tan^2 \theta + 1 = \sec^2 \theta$ to find $\sec \theta$, then $\cos \theta = \frac{1}{\sec \theta}$.

Evaluate the Expression cos⁡θ\cos \thetacosθ , Given That tan⁡θ=−43\tan \theta = - \frac { 4 } { 3 }tanθ=−34​

Evaluate the Expression $\cos \theta$ , Given That $\tan \theta = - \frac { 4 } { 3 }$