Math, asked by srijankumar824, 8 months ago

cosecA(1+cosA)(cosecA-cot A)=1​

Answers

Answered by aviralshukla064
0

Step-by-step explanation:

LHS = cosecA (1-cos A) (cosec A + cot A)

= (cosecA-cosecAcosA)(cosecA+cotA)

= (cosecA-cotA)(cosecA+cotA)

[ Since , cosecAcosA = cosA/sinA = cotA ]

= cosec²A - cot²A

= 1

[ Since , cosec²A - cot²A = 1 ]

= RHS

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