Question

if tan thita=a/b then 1+tan thita/1-tan thita=............

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Answer 1

Step-by-step explanation:

$\tan\alpha = \frac{a}{b} \\ \: now \: \frac{1 + \tan\alpha }{1 - \tan\alpha } = \frac{1 + \frac{a}{b} }{1 - \frac{a}{b} } \\ \: = \frac{ \frac{b + a}{b} }{ \frac{b - a}{b} } \\ = \frac{b + a}{b } \times \frac{b}{b - a} \\ = \frac{b + a}{b - a} \: \: \: \: \: \: ans$