If 1+sin²=3 sin cos , prove that tan = 1 or 1/2

1.	If 1+sin²=3 sin cos , prove that tan = 1 or 1/2
Answer» or1+ sin2 theta =3sin theta cos thetasin2 theta + cos2 theta +sin2 theta=3sincos theta2sin2 theta+cos2 theta=3sincos theta2sin2 - 3 sincos + cos2=0solve this quadratic u will get 2 factors(sin-cos)(2sin-cos)=0sin-cos=0\xa0sin=costan=12sin-cos=0sin/cos=1/2tan=1/2

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