Posted by **briana** on Sunday, January 2, 2011 at 4:58pm.

verify : [sec(x) / csc(x) - cot(x)] - [sec(x) / csc(x) + cot(x)] = 2csc(x)

- trig -
**MathMate**, Sunday, January 2, 2011 at 5:24pm
Use the following identities to express everything in sin(x), cos(x), tan(x) and cot(x):

sec(x)=1/cos(x)

csc(x)=1/sin(x)

Unless there is a typo on the right-hand-side, I find the given *identity* not true.

- trig -
**briana**, Sunday, January 2, 2011 at 6:44pm
i put it in my graphing calculator, though, and they graph the same function

- trig -
**MathMate**, Sunday, January 2, 2011 at 8:13pm
This is why I suspected there is a typo.

The left-hand-side evaluates to -2csc(x).

The right-hand-side, 2*csc(x).

I suggest you recheck the expressions posted.

Here's a plot of each side of the identity *as posted*.

http://img508.imageshack.us/img508/3851/1294005524.png

- trig-correction -
**MathMate**, Sunday, January 2, 2011 at 8:15pm
The left-hand-side evaluates to -2cot(x).

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