Posted by **Dennis** on Wednesday, April 9, 2008 at 10:36am.

Solve in terms of sine and cosine:

sec(x) csc(x)- sec(x) sin(x)

so far I have:

1/cos(x) 1/sin(x) - 1/cos(x) sin(x)

I am not sure where to go to from there. The book says the answer is cot(x) or cos(x)/sin(x)

Thank you in advance.

- Trig -
**drwls**, Wednesday, April 9, 2008 at 10:49am
sec(x) csc(x)- sec(x) sin(x)

= (1/cos x)(1/sinx) - sinx/cosx

= [(1/sinx)-sinx]/cos x

= [1 - sin^2x]/(sin x cos x)

= cos^2 x/(sin x cos x)

= cosx/sinx = cot x

- Trig -
**Dennis**, Wednesday, April 9, 2008 at 11:03am
Dang, I see where I messed up. Thank you so much.

## Answer this Question

## Related Questions

- trig - Reduce the following to the sine or cosine of one angle: (i) sin145*cos75...
- Alg2/Trig - Find the exact value of the trigonometric function given that sin u...
- TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...
- Trig - Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...
- math - Proving Trigonometric Identities 1. sec^2x + csc^2x= (sec^2 x)(csc^2 x) 2...
- calculus II - ∫ tan^2 x sec^3 x dx If the power of the secant n is odd, ...
- trig 26 - simplify to a constant or trig func. 1. sec Ču-tan Ču/cos Čv+sin Čv ...
- algebra - Can someone please help me do this problem? That would be great! ...
- verifying trigonometric identities - How do I do these problems? Verify the ...
- Trig - sin^4t-cos^4t/sin^2t cos^2t= sec^2t-csc^2t i have =(sin^2t+cos^2t)(sin^2t...

More Related Questions