- #1
xodin
- 40
- 0
Homework Statement
While doing a physics assignment today, I came up with an expression in my answer that appears to be equivalent to sin(θ), however, i couldn't find a way to manipulate the expression to prove that it was. Could anyone point me in the right direction as to a way that I could have shown that these two expressions are equal, without having to use the support of a logical argument or graph? I want to figure out how I could have done this using nothing but algebra and trig identities.
Homework Equations
[itex]\sqrt{\frac{37}{4} + 3sin(θ)} - \sqrt{\frac{37}{4} - 3sin(θ)} = sin(θ)[/itex]
The Attempt at a Solution
I've tried what I can but don't get very far. I even enlisted the help of a computer algebra system to see if it simplified it in a way I didn't recognize, but no joy. BTW, this is just for curiosity, not actual homework. Thanks for any help provided!
Last edited: