Posted by **Jonathan** on Monday, December 14, 2009 at 9:08pm.

Prove that each of these equations is an identity.

A) (1 + sinx + cos x)/(1 + sinx + cosx)=(1 + cosx)/sinx

B) (1 + sinx + cosx)/(1 - sinx + cosx)= (1 + sin x)/cosx

Please and thankyou!

- Math - Pre- Clac -
**Reiny**, Monday, December 14, 2009 at 10:41pm
you must have a typo in A since the left side equals 1

for B

multiply the left side by (1+sinx-cosx)/(1+sinx-cosx)

which after collecting like terms, and reducing comes to the right side.

A key simplification is the sequence of terms

1 ....+sin^2x... - cos^2x

which reduces to 2sin^2x

I am sure a similar step will work for A) after you find your typo

- Math - Pre- Clac -
**Jonathan**, Monday, December 14, 2009 at 10:46pm
Ok thanks, I did make a typo my bad.

## Answer this Question

## Related Questions

- Trig........ - I need to prove that the following is true. Thanks (cosx / 1-sinx...
- Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...
- Trigonometry. - ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! ...
- Trigonometry Check - Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [...
- trigonometry - can i use factoring to simplify this trig identity? the problem ...
- Pre-calc - prove the identity: (cosx)(tanx + sinx cotx)=sinx+cos(squared)x i ...
- Math - Verify the identity . (cscX-cotX)^2=1-cosX/1+cosX _______ sorry i cant ...
- Mathematics - Trigonometric Identities - Prove: (tanx)(sinx) / (tanx) + (sinx...
- maths - trigonometry - I've asked about this same question before, and someone ...
- Trig - prove the identity (sinX)^6 +(cosX)^6= 1 - 3(sinX)^2 (cosX)^2 sinX^6= ...