Question

Use a calculator to solve for theta in the given interval

Answer 1

Answer:

d. $1.82\: or\:4.46$

Step-by-step explanation:

The given trigonometric equation is;

$\sec \theta=-4.0545$

Recall that;

$\cos \theta=\frac{1}{\sec \theta}$

$\implies \cos \theta=\frac{1}{-4.0545}$

$\implies \cos \theta=-0.2466$

The cosine function is negative in the second and third quadrant.

$\theta=\pi-\cos^{-1}(0.2466)\: or\:\pi+\cos^{-1}(0.2466)$

$\theta=1.82\: or\:4.46$