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

Teej asked Feb 12, 2023

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25 votes

Teej asked Feb 12, 2023

by Teej

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9 votes

Solution:

$(\left[\left(\sin ^(2) A+2 * \sin A * (1-\cos A)+(1-\cos A)^(2)\right]\right.)/(\left[\left(1-\cos ^(2) A\right)-(1-\cos A)^(2)\right])$

$(\left[\left(1-\cos ^(2) A\right)+2 * \sin A * (1-\cos A)+(1-\cos A)^(2)\right])/(\left[(1-\cos A)(1+\cos A)-(1-\cos A)^(2)\right])$

$((1-\cos A)[1+\cos A+2 \sin A+1-\cos A])/([1-\cos A][1+\cos A-1+\cos A])$

$([2+2 \sin A])/([2 * \cos A])$

$(2(1+\sin A))/(2 * \cos A)$

$(1+\cos A)/(\sin A)$

Hence Proved.

Bryan Weaver answered Feb 18, 2023

3.0k points

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