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Rajan@2021
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If cos2θ = sin4θ, where 2θ and 4θ are acute angles, find the value of θ.

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This question is from trigonometry topic trigonometric ratios on complementary angles in which we have been asked to calculate the value of θ, if cos2θ = sin4θ.

RS Aggarwal, Class 10, Chapter 12, question no 10

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  1. cos2θ=sin4θ...(i)
    we know that
    sin(90°θ)=cosθ
    so equation (i) can be written as
    sin(90°2θ)=sin4θ
    on comparing both sides
    90°2θ=4θ
    6θ=90°
    θ=15°
    the value of θ=15o

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