prove that cotA-cosec2A=cot2A
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Step-by-step explanation:
L.H.S.
CotA-cosec2A
=cosA/sinA-1/sin2A
=cosA×sinA-sinA/(sinA)(sin2A)
=cosA×2sinA×cosA-sinA/sinA×2sinA×cos A
=cos^A×2sinA-sinA/sin A×2sinA×cosA
=sinA(2cos^A-1)/2sinA×cosA
=2cos^A-1/2sinA×cos A
=cos2A/sin2A
R.H.S.
(PROVED)
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