Question

find the value of theta​

Answer 1

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$\small{2\:sin4}$$\theta=$$\small\frac{1}{2}$

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$\small{\:sin4}$$\theta=$$\small\frac{1}{2}$$\small{×2}$

$\small{4}$$\theta=$$\small{ {sin}^{ - 1}}$$\small\frac{1}{4}$

$\theta=$$\small\frac{1}{4}$$\small{ {sin}^{ - 1}}$($\small\frac{1}{4}$)

Answer 2

Step-by-step explanation:

cos2θ=1−2sin2(θ)

So,

cosθ=1−2sin2(θ2)

2sin2(θ2)=1−cosθ

sin2(θ2)=1−cosθ2

sin(θ2)=±√1−cosθ2 

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