Posted by **Marrion** on Sunday, September 27, 2009 at 2:11am.

Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in terms of sinx and cosx.

I don't know what i'm supposed to do, and i dont come to an answer! Help, thanks!

my workings:

tan(45+x)= (1+tanx)/(1-tanx)

a/b = (1+tanx)/(1-tanx)

a(1-tanx)=b(1+tanx)

i square both sides...

a^2(1-tanx)^2 = b^2(1+tanx)^2

a^2 + b^2 = 2

a^2 = 2 - b^2

substitute:

(2-b^2)(1-tanx)^2 = b^2(1+tanx)^2

I don't know if im on the right track, but i don't seem to come to an answer when i expand the whole equation!

## Answer this Question

## Related Questions

- Trigo - Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in ...
- Trigonometry - Prove the following trigonometric identities. please give a ...
- trigonometry - can i use factoring to simplify this trig identity? the problem ...
- Trigonometry Check - Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [...
- Trigonometry. - ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! ...
- Trig........ - I need to prove that the following is true. Thanks (cosx / 1-sinx...
- TRIGONOMETRY *(MATHS) - Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x...
- maths - trigonometry - I've asked about this same question before, and someone ...
- Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...
- Trigonometry - Simplify #1: cscx(sin^2x+cos^2xtanx)/sinx+cosx = cscx((1)tanx)/...