if (cos 4 titha) - (sin 4 titha ), find the value of tan 2 titha.
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Answer:
Given,
2 θ and 4 θ are acute and cos2θ=sin4θ
We have, cosθ=sin(90∘−θ)
cos2θ=sin(90∘−2θ)
∴sin(90∘−2θ)=sin4θ
90∘−2θ=4θ
90∘=2θ+4θ
6θ=90∘
θ=15∘
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