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=-(1)/(4) \\ \theta=\cos ^(-1)((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.