prove that : sinθ / 1 - cotθ + cosθ / 1 - tanθ = sinθ + cosθ
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Step-by-step explanation:
For solving this expression convert tan x and cot x in terms of sinx and cosx.
sin 6
L.H.S. = -Cot * 1-tann8
cos 6
sine
cos
Cos 6+1
1-sin 6
=sin 6
cos
tan = cos 6 Cotosin 8 6
sincot 8 sin
sin20
sin -cos 6
cos20
sin 6-cos 6
sin20-cos20
sin 8- cos 6
(sin 6 +cos 8) (sin 6-cos )
(sin 6 cos 6)
= (cos + sin 0) = RH.S.
Hence proved.
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