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68, Prove that Cot cos A cosecA168. Prove that cot A cos A-cosec A+ 1 .cot. A- cos A cosec A-1IGRSE 2011

Answer»

Lhs = (cotA - cosA)/(cotA+cosA)=(cosA/sinA - cosA)/(cosA/sinA + cosA)

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

= (1/sinA -1)/(1/sinA+1)=(cosecA-1)/(cosecA+1) since 1/sinA= cosecA=rhs



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