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Trigonometric Ratios of Allied Angles

cot x cot 2x ...

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cot x cot 2x - cot 2x cot 3x - cot 3x cot x. = 1

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cot x cot 2 x - cot 2 x cot 3 x - cot 3 x cot x = 1

cot x . cot 2 x - cot 2 x . cot 3 x - cot x . cot 3 x = 1

\frac{cot x}{cot x - cot 3 x} + \frac{tan x}{tan x - tan 3 x} =

lim x \to \frac{π}{4} \frac{1 - c o t^{3} x}{2 - c o t x - c o t^{3} x}

Q. Solve the following equations.

\frac{c o t 2 x}{c o t x} + \frac{c o t x}{c o t 2 x} + 2 = 0.

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