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If 1+sin²=3 sin cos , prove …

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

Gaurav Seth 5 years, 1 month ago

or

1+ sin2 theta =3sin theta cos theta
sin2 theta + cos2 theta +sin2 theta=3sincos theta
2sin2 theta+cos2 theta=3sincos theta
2sin2 - 3 sincos + cos2=0
solve this quadratic u will get 2 factors
(sin-cos)(2sin-cos)=0
sin-cos=0 
sin=cos
tan=1
2sin-cos=0
sin/cos=1/2
tan=1/2

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