2
1+ 2 cos A
sin? a.
1+ 3 cot2 a
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Answer:
To prove: 1+3cot2A1+2cos2A=sin2A
Consider
1+3cot2A1+2cos2A
=1+3sin2Acos2A1+2cos2A
=sin2A(sin2A+3cos2A1+2cos2A)
=sin2A(1−cos2A+3cos2A1+2cos2A)
=sin2A(1+2cos2A1+2cos2A)
=sin2A
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