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Sum of Trigonometric Ratios in Terms of Their Product

Solve cosθ ...

Question

Solve $cos θ + \sqrt{3} sin θ = 2 cos 2 θ$ .

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Solution

On dividing the given equation by 2
$cos (θ - \frac{π}{3}) = cos 2 θ$
Ans. $(6 n + 1) \frac{π}{9}, (6 n - 1) \frac{π}{3}$ .

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Sum of Trigonometric Ratios in Terms of Their Product

Standard XII Mathematics

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