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If is a solution of the equation for
MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem If α \alpha α is a solution of the equation 3 sin 2 x − 7 sin x + 2 = 0 3\sin^2x-7\sin x+2=0 3 sin 2 x − 7 sin x + 2 = 0 for x ∈ [ 0 , 2 π ] x\in[0,2\pi] x ∈ [ 0 , 2 π ] , and f n ( θ ) = sin n θ + cos n θ f_n(\theta)=\sin^n\theta+\cos^n\theta f n ( θ ) = sin n θ + cos n θ , find the value of f 4 ( α ) f_4(\alpha) f 4 ( α ) .
(1) 97 81 \frac{97}{81} 81 97
(2) 57 81 \frac{57}{81} 81 57
(3) 65 81 \frac{65}{81} 81 65
(4) 0 0 0
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