Math, asked by Rakshita6566, 1 year ago

1/cosec A +cot A-1/sin A=1/sin A -1/cosecA-cotA ,Prove it by using trigonometric identities.

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Answered by ravi34287

The given equation is, 1cosecA−cotA−1sinA=1sinA−1cosecA+cotAor 1cosecA−cotA+1cosecA+cotA=2sinANow taking LHS, =1cosecA−cotA+1cosecA+cotA=cosecA+cotA+cosecA−cotAcosec2A−cot2A=2cosecA1 [As we know that cosec2A−cot2A=1 ]=2sinA=RHS

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