sin(90-A) /1 - tan A +cos(90-A) /1 - cot A =cos A +sinA
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Step-by-step explanation:
L,H.S, = Sin(90-A) /1- Tan A + Cos(90-A) / 1- Cot A
= Cos A (1-Cot A) / 1- Tan A + Sin A
= Cos A [ 1- Cos A/Sin A ] / 1- ( Sin A/Cos A) +Sin A
= Cos A [ Sin A - Cos A / Sin A] / Cos A - Sin A + sin A Cos A / Cos A
= Sin A + Cos A
=R.H.S.
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