If is a solution of the equation for

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If α\alpha is a solution of the equation 3sin⁡2x−7sin⁡x+2=03\sin^2x-7\sin x+2=0 for x∈[0,2π]x\in[0,2\pi], and fn(θ)=sin⁡nθ+cos⁡nθf_n(\theta)=\sin^n\theta+\cos^n\theta, find the value of f4(α)f_4(\alpha). (1) 9781\frac{97}{81} (2) 5781\frac{57}{81} (3) 6581\frac{65}{81} (4) 00

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