Question

if 1+sin^2 theta=3 sin theta cos theta then prove that tan theta=1 or 1/2

Answer 1

1+sin(square)theta=3 sin theta X cos theta
1+1/cosec(square) theta=3X1
cosec (square) theta + 1=3
2(cosec theta + 1)=3
tan theta = 3/2
tan theta=1/2

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