Monday

September 22, 2014

September 22, 2014

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

- trig -
**MathGuru**, Tuesday, January 31, 2012 at 8:07pmLet'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+...