Question

sin A/1 - Cos A = 1 + Cos A - Sin A/ Sin A - 1 + Cos A​

Answer 1

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..To prove,

....sinA/1+cosA=1-cosA/sinA

L.H.S=sinA/1+cosA

rationalise the denominator of the L. H. s..

sinA×(1—cosA)/(1+cosA)×(1—cosA)

using the property (a+b)(a–b) =a²–b²

sinA(1—cosA) /(1)²—(cos)²

sinA(1—cosA) /(1—cos²A)

using the property (1–cos²A) =sin²A

sinA(1—cos A) /Sin²A

SinA(1—cosA) /sinA×sinA

(1—cosA) /sinA=L.H.S....... proved...

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