The value of 2x x-3x2x-3x x for all permissible values of x is-

3x=(2x+x) ⇒3x=2x x 12x+ x ⇒3x(2x+ x)=2x x 1 nbsp; ⇒ nbsp;2x x 3x2x 3x x=1 ...

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Trigonometric Ratios for Sum of Two Angles

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Question

The value of $cot 2 x cot x - cot 3 x cot 2 x - cot 3 x cot x$ for all permissible values of $x$ is,

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cot 2 x cot x - cot 3 x cot 2 x - cot 3 x cot x

x

f (x) = 3 [{sin}^{4} (\frac{3 π}{4} - x) + {sin}^{4} (3 π + x)] - 2 [{sin}^{6} (\frac{π}{2} + x) + {sin}^{6} (5 π - x)]

x

f (x)

3 [{sin}^{4} (\frac{3 π}{2} - x) + {sin}^{4} (3 π + x)] - 2 [{sin}^{6} (\frac{π}{2} + x) + {sin}^{6} (5 π - x)]

{log}_{3} | x | > 2

x

tan A = \frac{x sin B}{1 - x cos B}

tan B = \frac{y sin A}{1 - y cos A}

\frac{sin A}{sin B}

A, B

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