Question

Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

sec θ = -4 / 3

cot θ > 0

Step 02:

sec θ = 1 / cos θ

-4/3 = 1 / cos θ

$\begin{gathered} \frac{-4}{3}\text{ = }\frac{1}{\text{cos }\theta} \\ \cos \text{ }\theta\text{ = -}\frac{3}{4} \end{gathered}$

cot θ = 1 / tan θ > 0