Math, asked by abhishekgulia, 11 months ago

(sina+cosa)^2-1/tana-sina.cosa=2cot^2a

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Answered by sandy1816

1

$= \frac{( {sina + cosa})^{2} - 1 }{tana - sinacosa} \\ = \frac{1 + 2sinacosa - 1}{ \frac{sina}{cosa} - sinacosa } \\ = \frac{2sinacosa}{ \frac{sina - sina {cos}^{2}a }{cosa} } \\ = \frac{2sina {cos}^{2} a}{sina(1 - {cos}^{2} a)} \\ = \frac{2 {cos}^{2}a }{ {sin}^{2} a} \\ = 2 {cot}^{2} a$

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