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How do you prove $cot (x) - tan (x) = 2 cot 2 (x)$ $cot(x) - tan(x) = 2cot2(x)$ ?

1 Answer

Shwetank Mauria

Sep 18, 2016

Please see below.

Explanation:

$cot x - tan x$ $cotx-tanx$

= $cot x - \frac{1}{cot x}$ $cotx-1/cotx$

= $\frac{{cot}^{2} x - 1}{cot x}$ $(cot^2x-1)/cotx$

= $2 \times \frac{{cot}^{2} x - 1}{2 cot x}$ $2xx(cot^2x-1)/(2cotx)$

= $2 cot 2 x$ $2cot2x$

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