Posted by **Randy** on Sunday, January 9, 2011 at 3:01pm.

Prove the following trigonometric identity: (sec^2x-1)(csc^2x-1)=1

- Prove trig identity -
**chemistry**, Sunday, January 9, 2011 at 3:03pm
randy re check the question and use brackets to identify

do u mean secant squared?

or secant to the power of 2x-1

- Prove trig identity -
**Randy**, Sunday, January 9, 2011 at 3:06pm
secant squared... ((sec^2)x-1)((csc^2)x-1)

- Prove trig identity -
**chemistry**, Sunday, January 9, 2011 at 3:08pm
re write the question properly

sec^2 x?

is there something there?

there should be either x or thetha there

and is it multplied

- Prove trig identity -
**Randy**, Sunday, January 9, 2011 at 3:09pm
Sorry forgot the =1 on the end, ((sec^2)x-1)((csc^2)x-1)=1

- Prove trig identity -
**helper**, Sunday, January 9, 2011 at 3:22pm
(sec^2 (x) - 1)(csc^2 (x) - 1) = 1

sec^2 (x) - 1 = tan^2 (x)

csc^2 (x) - 1 = cot^2 (x)

(tan^2 (x) )(cot^2 (x)) = 1

cot^2 (x) = 1/tan^2 (x)

(tan^2 (x) )(1/tan^2 (x))= 1

tan^2 (x)/tan^2 (x)= 1

1 = 1

- Prove trig identity -
**Randy**, Sunday, January 9, 2011 at 3:30pm
Thank you.

- Prove trig identity -
**helper**, Sunday, January 9, 2011 at 3:33pm
you're welcome

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