Question

cosec A+sin A)(cosec A-sin A)=cot^2 A+cos^2 A prove it

Answer 1

Hope it help..
Cheers! :D

Answer 2

Hi ,

LHS = ( cosecA + sinA )(cosecA-SinA)

= Cosec² A - sin² A

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We know that

1 ) cosec² A = 1 + cot² A

2 ) sin² A = 1 - cos² A

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= 1 + cot² A - ( 1 - cos² A )

= 1 + cot² A - 1 + cos² A

= cot² A + cos² A

= RHS

I hope this helps you.

: )