SOLUTION: 1+Sin(x) sin(x) - cos(x) + 1 ------- = ----------- ------- cos(X) sin(x) + cos(x) + 1 Verify the identity. I tried different ways , but still cannot get it.

Question 1067735: 1+Sin(x) sin(x) - cos(x) + 1
------- = -------------------
cos(X) sin(x) + cos(x) + 1
Verify the identity.
I tried different ways , but still cannot get it. Please help.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.
It is NOT an identity.

Plot y = (red, the left side) and y = (green, the right side)

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Properly expressed on the site your identity to prove is

(1+sin(x))/cos(x)=(sin(x)-cos(x)+1)/(sin(x)+cos(x)+1)

and rendered should appear

Way, way, way too much text to try to put in here, but I tried starting with the right hand side,
and multiplied top and bottom by , worked through some arithmetic, followed the difference of squares, did more steps...,

and came to .

Not really finished, so still more work to do.
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