Question

If 2 sin²2θ=1 then the value of θ is *
A. 15⁰
B. 45
C. 30⁰
D. 22.5⁰​

Answer 1

Answer:

45

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Answer 2

$Given \: 2sin^{2} \:2\theta = 1$

$\implies sin^{2} \:2\theta = \frac{1}{2}$

$\implies sin\: 2\theta = \frac{1}{\sqrt{2}}$

$\implies sin 2\theta = sin \: 45\degree$

$\implies 2\theta = 45\degree$

$\implies \theta = \frac{45}{2}$

$\implies \theta = 22.5 \degree$

Therefore.,

$Option \: \green { ( D ) }\: is \: correct.$

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