Question

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

Answer 1

Given

2 sin^2∅= 1/2

sin^2∅ = 1/4

sin∅ =1/2

sin∅ = sin30°

Hence ∅=30°.

hope helped!

Answer 2

Value of θ if 2sin²θ  = 1/2 is nπ ± π/6 , Principal Values are  ± π/6 ( ± 30°)

Given:

• 2sin²θ = 1/2

To Find:

• Value of θ

Solution:

Step 1:

Divide both sides by 2

sin²θ = (1/2)(1/2)

sin²θ = (1/2)²

Step 2:

Use sin (π/6) = 1/2  and

Use Identity if sin²θ = sin²α then θ  = nπ ± α

Hence

θ = nπ ± π/6

Value of θ if 2sin²θ  = 1/2 is nπ ± π/6

Principal Values are  ± π/6 or  ( ± 30°)

Learn More:

Prove that sinα + sinβ + sinγ − sin(α + β+ γ) = 4sin(α+β/2)sin(β+γ

brainly.in/question/10480120

Ifsin 990° sin 780° sin 390°+=K(tan 405° – tan 360°) then Kicos 540 ...

brainly.in/question/22239477

Maximum value of sin(cos(tanx)) is(1) sint (2)

brainly.in/question/11761816

evaluate cot[90-theta].sin[90-theta] / sin theta+cot 40/tan 50 - [cos ...

brainly.in/question/2769339