Math, asked by sushilk99135, 3 months ago

CosA-sinA+1/CosA+sinA-1 =cosecA+ cotA.

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Answered by tanishgupta886

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Step-by-step explanation:

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LHS=cosA+sinA−1cosA−sinA+1

dividing Nr and Dr by sinA we get,

=sinAcosA+sinAsinA−sinA1sinAcosA−sinAsinA+sinA1

=cotA+1−cosecAcotA−1+cosecA

=cotA+1−cosecAcotA+cosecA−(cosec2A−cot2A)

=cotA+1−cosecA(cotA+cosecA)(1−cosecA+cotA)

=cotA+cosecA=RHS

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