Use a calculator to solve for x in the given interval
-$\sec \theta = 1.77,0 ^ { \circ } \leq \theta \leq 90 ^ { \circ }$
A) $55.60 ^ { \circ }$
B) $- 29.47 ^ { \circ }$
C) $34.40 ^ { \circ }$
D) $29.47 ^ { \circ }$

Question

Quizplus · Accepted Answer

To solve for $\theta$ given $\sec \theta = 1.77$ in the interval $0 ^ { \circ } \leq \theta \leq 90 ^ { \circ }$, we first find the cosine of $\theta$ since $\sec \theta = \frac{1}{\cos \theta}$. Therefore, $\cos \theta = \frac{1}{1.77}$. Using a calculator to find the angle whose cosine is $\frac{1}{1.77}$, we get $\theta \approx 55.60 ^ { \circ }$, which is within the given interval.

Use a Calculator to Solve for X in the Given sec⁡θ=1.77,0∘≤θ≤90∘\sec \theta = 1.77,0 ^ { \circ } \leq \theta \leq 90 ^ { \circ }secθ=1.77,0∘≤θ≤90∘

Use a Calculator to Solve for X in the Given $\sec \theta = 1.77,0 ^ { \circ } \leq \theta \leq 90 ^ { \circ }$