Math, asked by lpavan208, 4 days ago

prove that cosecA (1-cosA) (cosecA+cosA)=1

Answers

Answered by vaatsalyagupta101

1

Answer:

LHS = 1 / sinA (1-cosA) * (1 / sinA + cosA / sinA)

= (1 / sinA-cosA / sinA) * (1 + cosA) / sinA

= (1-cosA) / sinA * (1+ cosA) / sinA

= 1- (cos A * cosA) / (sinA * sinA)

= (sinA * sinA) / (sinA * sinA)

= 1 = RHS

Step-by-step explanation:

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