Posted by **Matt** on Tuesday, January 31, 2012 at 1:38pm.

Prove (1+secx)/(tanx+sinx)=cscx

- trig -
**MathGuru**, Tuesday, January 31, 2012 at 8:07pm
Let's use a few identities:

secx = 1/cosx

tanx = sinx/cosx

cscx = 1/sinx

Therefore:

(1 + 1/cosx)

------------ = cscx

(sinx/cosx + sinx)

Change 1 in the numerator to cosx/cosx, which is the equivalent of 1. Also, multiply sinx in the denominator by cosx/cosx.

(cosx/cosx + 1/cosx)

-------------------- = cscx

(sinx/cosx + sinx(cosx)/cosx)

(cosx + 1)/cosx

---------------- = cscx

[sinx + sinx(cosx)]/cosx

(cosx + 1)/[sinx + sinx(cosx)] = cscx

(cosx + 1)/sinx(cosx + 1) = cscx

1/sinx = cscx

cscx = cscx

I hope this helps.

## Answer This Question

## Related Questions

- Precalculus/Trig - I can't seem to prove these trig identities and would really ...
- Trig Help - Prove the following: [1+sinx]/[1+cscx]=tanx/secx =[1+sinx]/[1+1/sinx...
- Trig - Prove (1+secx)/(tanx+sinx)=cscx
- drwls - My previous question: Verify that (secx/sinx)*(cotx/cscx)=cscx is an ...
- Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...
- Math - Im really struggling with these proving identities problems can somebody ...
- Pre-Cal - How do I do these questions? I'm supposed to prove them so that both ...
- Pre-Calculus - Find a numerical value of one trigonometric function of x if tanx...
- math - 1. (sinx/cscx)+(cosx/secx)=1 2. (1/sinxcosx)-(cosx/sinx)=tanx 3. (1/1+cos...
- trig - We are doing trig identities in school. I need help with these five: 1.1+...

More Related Questions