prove that cotA- cosec2A= cot2A
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Answered by
24
cotA -cosec(2A)
=cosA/sinA - 1/sin(2A)
=cosA/sinA - 1/(2sinAcosA)
=(2cos²A-1)/2sinAcosA
=cos(2A)/sin(2A)
=cot(2A)
Answered by
7
LHS=> cotA-cosec2A
=cosA/sinA -1/sin2A
=cosA/sinA -1/2sinA.cosA
=(2cos²A-1)/2sinA.cosA
=cos2A/sin2A=cot2A
proved
[cos2A=2cos²A-1,sin2A=2sinA.cosA]
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