- #1
acen_gr
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Homework Statement
Verify that [itex]\frac{cosθ}{1-tanθ}[/itex] + [itex]\frac{sinθ}{1-cotθ}[/itex] = sinθ + cosθ is an identity.
Homework Equations
- Reciprocal Trigonometric Identities
- Pythagorean Trig Identities
The Attempt at a Solution
Every time I try to manipulate the LHS of the equation I always get -1 and as far as I know, the sum of sine and cosine always has to be both squared to get 1. But in this case, the RHS has sinθ + cosθ. Is it possible for sinθ + cosθ to equal 1? Or I just made the wrong way of manipulating in LHS? Thank you!
PS: A hint for the problem will do. I would love to show my work from what I will have to learn from your replies.