Prove that ,sec theta/cosec theta - cosec theta/sec theta =tan theta.sin square theta-cot theta.cos square theta
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Step-by-step explanation:
sec theta/cosec theta-cosec theta/sec theta
=sec²theta-cosec²theta/cosec theta.sec theta
=1+tan² theta-l+cot² theta /cosec theta . sec theta
=1/cosec theta .sec theta
RHS
tan theta.sin²theta-cot theta.cos²theta
=sin theta/cos theta.sin²theta-cos theta./sin theta.cos²theta
=sin³theta/cos theta -cos³theta/sin theta
=sin⁴theta-cos⁴theta/cos theta.sin theta
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