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

## Answer this Question

## Related Questions

- trig - (sec^2x-1)(csc^2x-1)=1 prove the following identity ive been stuck on ...
- Trig verifying identities - I am having trouble with this problem. sec^2(pi/2-x...
- trig - prove the identity: csc x-1/csc x+1 = cot^x/csc^x+2 csc x+1
- Pre-Calc/Math - Prove identity: (sec x/csc x) + (sin x/cos x)=(2/cot x)
- trig - determine wheather each of the following is an identity or not prove it 1...
- Trig - How do I prove the following Identity? sec x(sec x-cos x)=tan^2x If there...
- trig - prove the trig identity cos(4x) = 2-sec^2(2x)/sec^2(2x)
- Trig - Prove the trig identity cos(4x)=2-sec^2(2x)/sec^2(2x)
- Trig - Prove the trig identity cos(4x)=2-sec^2(2x)/sec^2(2x)
- math - prove the following trigonometric identity: (cos x/(1+sinx))+tanx = secx