Question

Find the exact value of each of the remaining trig functions of θcosθ = -1/4 , tanθ > 0

Answer 1

First, we find the angle there using the cosine function

$\begin{gathered} \cos \theta=-\frac{1}{4} \\ \theta=\cos ^{-1}(\frac{1}{4})=75.5 \end{gathered}$

So, the angle is 75.5°.

Then, we find the tangent of theta

$\tan \theta=\tan (75.5)=3.9$

Hence, the tangent of theta is 3.9.