SOLUTION: Question: simplify the following a) (sin(x)cot(x)+cos(x))/sin(x) The answer I got : 2cos(x) *I have no idea if I did this right it was just a guess. Any hel

Question 440605: Question: simplify the following
a) (sin(x)cot(x)+cos(x))/sin(x)

The answer I got : 2cos(x)
*I have no idea if I did this right it was just a guess.
Any help you can give me would be greatly appreciated, thanks so much.
Sincerely:
Struggling student

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplify the following
a) (sin(x)cot(x)+cos(x))/sin(x)
-----
[sin(x)[cos(x)/sin(x)]+cos(x)]/sin(x)
-----
= [cos(x)+cos(x)]/sin(x)
----
= 2 * [cos(x)/sin(x)]
---
= 2*cot(x)
================
Cheers,
Stan H.

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