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Multiplying/Dividing a Negative Entity

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The solution of inequality cos 2x cos x

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Q. Solution set for the inequality

\frac{5}{4} {sin}^{2} x + {sin}^{2} x \cdot {cos}^{2} x > cos 2 x

Q. Solution set of the inequality

\frac{2 {cos}^{2} x - 1}{sin \frac{x}{2}} < 0

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Q. The number of common solution(s) of the trigonometric equations

cos 2 x + (1 - \sqrt{3}) = (2 - \sqrt{3}) cos x

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satisfying the inequality

\sqrt{3} tan x - 1 \geq 0

[0, 5 π]

Q. Number of common solution(s) of the trigonometric equations

cos 2 x + (1 - \sqrt{3}) = (2 - \sqrt{3}) cos x

sin 3 x = 2 sin x

which satisfy the inequality

\sqrt{3} tan x - 1 \geq 0

[0, 5 π]

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Multiplying/Dividing a Negative Entity

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