Question

Find all solutions of the equation in the interval [0, 2pi).cos0 = 0.4926If there is more than one solution, separate them with commas.Do not round any intermediate computations. Give your answer(s) in radians, and round your answer(s) to the nearest hundredth.

Answer 1

The solution is:

$\theta=1.0557$

Since the angle is in radians, there is only one solution

Then take the inverse of the cosine in both sides:

$\begin{gathered} \cos ^{-1}(\cos (\theta))=\cos ^{-1}(0.4926)^{} \\ \theta=\cos ^{-1}(0.4926)=1.0557 \end{gathered}$