Question

Find the value of theta if 2cos^2theta =1/2

Answer 1

Answer:

∴ cos theta = 0°.

Step-by-step explanation:

2cos²theta = 1/2

⇒cos²theta=1

⇒cos theta = 1

We, know that

cos 0° = 1.

∴theta = 0°.

Answer 2

Step-by-step explanation:

$2 { \cos( \alpha ) }^{2} = \frac{1}{2} \\ { \cos( \alpha ) }^{2} = \frac{1}{4} \\ \cos( \alpha ) = \sqrt{ \frac{1}{4} } \\ \cos( \alpha ) = \frac{1}{2} \\ \cos( \alpha ) = \cos(60) \\ \alpha = 60$