Trigo
posted by Marrion .
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 don't come to an answer! Help, thanks!
my workings:
tan(45+x)= (1+tanx)/(1tanx)
a/b = (1+tanx)/(1tanx)
a(1tanx)=b(1+tanx)
i square both sides...
a^2(1tanx)^2 = b^2(1+tanx)^2
a^2 + b^2 = 2
a^2 = 2  b^2
substitute:
(2b^2)(1tanx)^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!
Respond to this Question
Similar Questions

PreCalc
Trigonometric Identities Prove: (tanx + secx 1)/(tanx  secx + 1)= tanx + secx My work so far: (sinx/cosx + 1/cosx + cosx/cosx)/(sinx/cos x  1/cosx + cosx/cosx)= tanx + cosx (just working on the left side) ((sinx + 1  cosx)/cosx)/((sinx … 
Trigonometry.
( tanx/1cotx )+ (cotx/1tanx)= (1+secxcscx) Good one! Generally these are done by changing everything to sines and cosines, unless you see some obvious identities. Also generally, it is best to start with the more complicated side … 
Trig.......
I need to prove that the following is true. Thanks (2tanx /1tan^x)+(1/2cos^2x1)= (cosx+sinx)/(cosx  sinx) and thanks ........... check your typing. I tried 30ยบ, the two sides are not equal, they differ by 1 oh , thank you Mr Reiny … 
Trig........
I need to prove that the following is true. Thanks (cosx / 1sinx ) = ( 1+sinx / cosx ) I recall this question causing all kinds of problems when I was still teaching. it requires a little "trick" L.S. =cosx/(1sinx) multiply top and … 
Trigonometry
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 don't come to an answer! Help, thanks! my workings: tan(45+x)= (1+tanx)/(1tanx) a/b = (1+tanx)/(1tanx) … 
Trigonometry Check
Simplify #3: [cosxsin(90x)sinx]/[cosxcos(180x)tanx] = [cosx(sin90cosxcos90sinx)sinx]/[cosx(cos180cosx+sinx180sinx)tanx] = [cosx((1)cosx(0)sinx)sinx]/[cosx((1)cosx+(0)sinx)tanx] = [cosxcosxsinx]/[cosx+cosxtanx] = [cosx(1sinx]/[cosx(1+tanx] … 
trigonometry
can i use factoring to simplify this trig identity? 
Trigonometry
Prove the following trigonometric identities. please give a detailed answer because I don't understand this at all. a. sin(x)tan(x)=cos(x)/cot^2 (x) b. (1+tanx)^2=sec^2 (x)+2tan(x) c. 1/sin(x) + 1/cos(x) = (cosx+sinx)(secx)(cscx) d. … 
Calculus 2 Trigonometric Substitution
I'm working this problem: ∫ [1tan^2 (x)] / [sec^2 (x)] dx ∫(1/secx)[(sin^2x/cos^2x)/(1/cosx) ∫cosxsinx(sinx/cosx) ∫cosx∫sin^2(x)/cosx sinx∫(1cos^2(x))/cosx sinx∫(1/cosx)cosx sinx∫secx∫cosx … 
Trigonometry
How do you simplify: (1/(sin^2xcos^2x))(2/cosxsinx)?