Question

prove:
$\frac{1 + cosec \: a}{cosec \: a} = \frac{ { \cos(a) }^{2} }{1 - \sin \: a}$
THE FIRST ONE TO ANSWER WILL BE MARKED AS BRIANLIEST

PLZZ HELP

Answer 1

Hey!!!!

Good Afternoon

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To Prove : (1 + cosecA)/cosecA = cos²A/(1 - sinA)

LHS :

=> (1 + cosecA)/cosecA

=> 1/cosecA + cosecA/cosecA

=> sinA + 1

Now multiply and divide by (1 - sinA)

=> (1 + sinA)(1 - sinA)/(1 - sinA)

=> (1 - sin²A)/(1 - sinA)

We know 1 - sin²A = cos²A

=> cos²A/(1 - sinA)

=> RHS

Hence Proved

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Hope this helps ✌️

Answer 2

proof is in the attachment but in the question it would be cos square a not cos a square