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Question


sin A2 sin3A2 cos3Acos A=


Options:
A .   secA
B .   cotA
C .   tanA
D .   1
Answer: Option C
:
C

sin A2 sin3A2 cos3Acos A=sin A(12 sin2A)cos A(2 cos2A1)
=sin A(sin2A+cos2A2 sin2A)cos A(2 cos2A(sin2A+cos2A))
=sin A(cos2Asin2A)cosA(cos2Asin2A)
=tan A



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