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Trigonometric Identities

Express 1-t...

Question

Express $\frac{1 - tan x}{1 + tan x}$ in terms of $sin x$ and $cos x$

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Solution

$\frac{1 - t a n x}{1 + t a n x}$ = $\frac{1 - \frac{s i n x}{c o s x}}{1 + \frac{s i n x}{c o s x}} =$ $\frac{c o s x - s i n x}{c o s x + s i n x} .$

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