Question

prove that:(sin theta - cosec theta)(cos theta -sec theta)=1/tan theta + cot theta​

Answer 1

Step-by-step explanation:

LHS

(sin-cosec)(cos-sec)

=(sin²-1)(cos²-1)/sincos

=(1-sin²)(1-cos²)/sincos

=sin²cos²/sincos

=sincos

RHS

1/tan+cot

=1/(sin/cos+cos/sin)

=1/(sin²+cos²/sincos)

=sincos

hence, LHS=RHS

Answer 2

Solution →

Answer is in the attachment.

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