SOLUTION: Question: simplify the following expressions: a) (csc(x)tan(x))/(sec(x)cot(x)) answer I got: tan(x) Thanks so much, any help is greatly appreciated!

Algebra ->  Trigonometry-basics -> SOLUTION: Question: simplify the following expressions: a) (csc(x)tan(x))/(sec(x)cot(x)) answer I got: tan(x) Thanks so much, any help is greatly appreciated!      Log On


   



Question 440611: Question: simplify the following expressions:
a) (csc(x)tan(x))/(sec(x)cot(x))



answer I got:
tan(x)
Thanks so much, any help is greatly appreciated!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(csc(x)tan(x))/(sec(x)cot(x))
----
(1/sin)(sin/cos)/[(1/cos)(cos/sin)]
------
= (1/cos) / (1/sin)
----
= sin/cos
---
= tan(x)
==========
You are correct.
Cheers,
Stan H.