Question

if 2 cos^2 theta=1/2,find theta

Answer 1

Answer:

We know that cos 60 = 1/2

So theta = 60

Answer 2

$= > \: \: 2{ \cos}^{2} \theta \: = \frac{1}{2} \\ \\ = > \: \: { \cos}^{2} \theta \: = \frac{1}{4} \\ \\ = > \: \: \sqrt{ { \cos}^{2} \: \theta } = \sqrt{ \frac{1}{4} } \\ \\ = > \: \: \cos \theta = \frac{1}{2}$

Hence, θ = 60° { Since, cos 60° = 1/2 }