Question

Prove L.H.S = R.H.S
$( \: sin \: - \: cosec \: ) \: (cos \: - \: sec \: ) \: = \: \frac{1}{tan \: + \: cot}$
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Answer 1

Step-by-step explanation:

LHS = ( sin - cosec)( cos - sec)

= (sin - 1/ sin) ( cos -1/ cos)

= ( 1- sin^2 / sin) ( 1- cos^2/ cos)

= cot^2/ sin ( sin^2/ cos)

= sin . cos

= sin.cos/ sin^2+ cos^2

= 1/ sin ^2+ cos^2/ sin .cos

= 1/ tan + cot

= RHS

Answer 2

Akshu meleko bhul gye kya..?-_-