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AVprozaik [17]
3 years ago
11

Use a calculator to solve for theta in the given interval

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

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

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