Hello everyone. Can someone please help me verify this identity? I am stumped on this one.

csc(x) + cot (x)

______________ = cot (x) csc (x)

tan(x) + sin (x)

Thanks.

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- May 6th 2012, 03:13 PMtroeHelp Verifying Identity
Hello everyone. Can someone please help me verify this identity? I am stumped on this one.

csc(x) + cot (x)

______________ = cot (x) csc (x)

tan(x) + sin (x)

Thanks. - May 6th 2012, 03:57 PMskeeterRe: Help Verifying Identity
left side ...

$\displaystyle \frac{\frac{1}{\sin{x}}+\frac{\cos{x}}{\sin{x}}} {\frac{\sin{x}}{\cos{x}} + \frac{\sin{x} \cos{x}}{\cos{x}}}$

$\displaystyle \frac{\frac{1+\cos{x}}{\sin{x}}} {\frac{\sin{x}+\sin{x} \cos{x}}{\cos{x}}}$

$\displaystyle \frac{\frac{1+\cos{x}}{\sin{x}}} {\frac{\sin{x}(1+ \cos{x})}{\cos{x}}}$

you take it from here ... - May 6th 2012, 04:39 PMtroeRe: Help Verifying Identity
The rest of the problem...

Quote:

$\displaystyle {\frac{1+cos{x}}{\sin{x}} *} {\frac{cos{x}}{\sin{x}(1+cos{x})} =}{\frac{cos{x}}{\sin{x}} *} {\frac{1}{\sin{x}}} = cotx cscx $

Thanks - May 6th 2012, 04:44 PMskeeterRe: Help Verifying Identity
- May 6th 2012, 04:52 PMtroeRe: Help Verifying Identity
Thanks that really help!!!