SOLUTION: Prove (cosA�1+sinA)+(1+sinA�cosA)=2�cosA

Question 952117: Prove (cosA�1+sinA)+(1+sinA�cosA)=2�cosA
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Prove (cosA�1+sinA)+(1+sinA�cosA)=2�cosA
-----
Prove cosA/(1+sinA)+(1+sinA)/cosA = 2/cosA
cos^2/(1+sin) + (1+sin) = 2
cos^2 + (1+sin)^2 = 2 + 2sin
1-sin^2 + 1 + 2sin + sin^2 = 2 + 2sin
2 + 2sin = 2 + 2sin
===========================
If anyone can post an example where working on one side only makes a difference, I would like to see it.
RELATED QUESTIONS
PROVE THAT sinA/1+cosA +... (answered by AAfter Search)

Please prove: ((cos2A)/(cosA+sinA)^3) =... (answered by Cromlix)

Prove that: ((cos2A)/(cosA+sinA)^3) =... (answered by Cromlix)

SinA+1-cosA/cosA-1+sinA=1+sinA/cosA (answered by anand429)

(SinA/1+cosA) +... (answered by amarjeeth123)

1 - sinA^2/1+cosA =cosA (answered by josgarithmetic)

√1+cosA/√1-CosA=sinA/1-cosA (answered by amarjeeth123)

Prove these identity (1-SinA + CosA)^2 = 2(1-SinA)(1+... (answered by Edwin McCravy,ThePhysicsMathGuru,josgarithmetic)

prove the trigonometrical identities.... (answered by greenestamps)