Question

(cosec-sin)(sec-cos)(tan+cot)=1

Answer 1

LHS=(cos-sin)(sec-cos)(tan+cot)

(1/sin-sin)(1/cos-cos)(sin/cos+cos/sin)

(1-sin.sq/sin)(1-cos.sq/cos)(sin.sq+cos.sq/cos x sin)

cos.sq/sin x sin.sq/cos x 1/cos x sin   (sin.sq+cos.sq=1)

cos x sin x 1/cos x sin

=1

=RHS

here sq means square.

hope it helps you