Question

Find theta if 2sin2theta = root2

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Answer 1

Answer:

Valueofθ=30°

Explanation:

Given 2sin2\theta=\sqrt{3}2sin2θ=

3

,

where 2\theta2θ is acute.

\implies sin2\theta=\frac{\sqrt{3}}{2}⟹sin2θ=

2

3

\implies sin2\theta=sin60⟹sin2θ=sin60

\implies 2\theta = 60⟹2θ=60

\implies \theta = \frac{60}{2}⟹θ=

2

60

\implies \theta = 30⟹θ=30

Therefore,

\theta = 30\degreeθ=30°

Answer 2

Answer:

sin2theta=1/root2

sin2theta=sin45

2theta=45

theta=22.5