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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

Posted by Kanika Kumar 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 9 months ago

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

1Thank You

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