- #1
Char. Limit
Gold Member
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Homework Statement
All right, so I was trying to help a friend prove a certain (complicated) trig identity for summer homework, but I got stuck myself... hopefully one of you will be able to help.
The trig identity in question is...
[tex]\frac{cos(x)}{1-tan(x)} + \frac{sin(x)}{1-cot(x)} = cos(x) + sin(x)[/tex]
Homework Equations
1+tan^2(x)=sec^2(x)
1+cot^2(x)=csc^2(x)
The Attempt at a Solution
So far I've gotten it to...
[tex]\frac{cos(x)-sin(x)}{sec^2(x)-2tan(x)} - \frac{cos(x)-sin(x)}{csc^2(x)-2cot(x)} = cos(x)+sin(x)[/tex]
But although I think that's a really nice form (two very similar terms), I have no idea where to go from there. Could one of you help me out?