Question

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Answer 1

Answer:

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Answer 2

$Given \: \alpha + \beta = 90 \degree \: --(1)$

$LHS = \red{ cot \beta + cos \beta } \\= \frac{\frac{cos \beta}{sin \beta } + cos \beta \\= \frac{ cos \beta + cos \beta sin \beta }{sin \beta } \\= \frac{ cos\beta ( 1 + sin \beta )}{sin (90 - \alpha) } \\= \green {\frac{ cos\beta ( 1 + sin \beta )}{cos \alpha}} \\= RHS$

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