Question

This Question is from the chapter Trignometry
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Answer 1

Step-by-step explanation:

$LHS \: = \frac{1}{ \frac{1}{cosa} - \frac{sina}{cosa} } - \frac{1}{cosa}$

$= \frac{1}{ \frac{1 - sina}{cosa} } - \frac{1}{cosa}$

$= \frac{cosa}{(1 - sina) } - \frac{1}{cosa}$

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

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

$= \frac{sina - {sin}^{2}a }{(1 - sina)cosa} = \frac{sina(1 - sina)}{(1 - sina)cosa}$

$= \frac{sina}{cosa} = tana$

$= RHS(hence \: proved)$

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Answer 2

Answer:

answer attached in photo