Question

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Answer 1

Answer: We know that,

cosec (90° -x) = sec x

sin(180°-x) = sin x

cot(360°-x) = - cot x

sec(180°+x) = - sec x

cot(360°-x) = - cot x

sec(180°+x) = - sec x

tan(90°+x) = - cot x

sin(-x) = -sin x

LHS = cosec(90-x)sin(180-x)cot(360-x)/sec(180+x)tan(90+x)sin(-x) = 1

        = sec x.sin x. (-cotx )/(-sec x)(-cot x)(-sin x)

        = sec x.sin x. cotx/sec x. cotx.sin x

        = 1 = RHS

HENCE       PROVED