Math, asked by shivanimaske4158, 1 year ago

Prove that 1/cosecA-cotA-1/sinA=1/sinA-1/cosecA+cotA

Answers

Answered by zahaansajid
1

LHS=1/(cosecA-cotA) -1/sinA

=(cosecA+cotA)/cosec^2A-cot^2A) -cosecA

=cosecA+cotA-cosecA

=cotA

RHS=1/sinA-1/(cosecA+cotA)

=cosecA-(cosecA-cotA)/(cosec^2A-cot^2A)

=cosecA-(cosecA-cotA)

=cotA

LHS=RHS

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