Question

if sin theta +Cos theta = √3, then prove that tan theta + cot theta = 1

Answer 1

sin theta + cos theta = √3
( sin theta + cos theta )^ 2 = (√3 ) ^2
sin^2 theta + cos^2 theta +2sin theta. cos theta = 3
1 + 2 sin theta . cos theta = 3
2 sin theta . cos theta = 2
sin theta . cos theta = 1
sin theta . cos theta = sin^2 theta + cos^2 theta
( 1 = sin^2 theta + cos^2 theta
sin theta . cos theta / sin theta . cos theta
= sin^2 theta + cos^2 theta / sin theta . cos theta
1 = tan theta + cot theta

Answer 2

hey mate here is ur answer


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