SOLUTION: Dear Sir, Q: If sin A=x^2-2x+2, Find Cos A I have tried this way sin^2 A = (x^2-2x+2)^2 1-cos^2 A= (x^2-2x+2)^2 Cos^2 A= 1-(x^2-2x+2)^2 Cos^2 A= 1^2-(x^2-2x+2)^2 = [1+(

Algebra.Com
Question 686909: Dear Sir,
Q: If sin A=x^2-2x+2, Find Cos A
I have tried this way
sin^2 A = (x^2-2x+2)^2
1-cos^2 A= (x^2-2x+2)^2
Cos^2 A= 1-(x^2-2x+2)^2
Cos^2 A= 1^2-(x^2-2x+2)^2 = [1+(x^2-2x+2)][1-(x^2-2x+2)]
is it correct or am going somewhere wrong?
Kindly help me to solve this.
Regards,
AN

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Just take the sqrt of both side to get CosA. You could expand more, and possibly simplify, but I wouldn't. In fact, I would have stopped one step earlier and just taken then sqrt of 1-(x^2-2x+2)^2
RELATED QUESTIONS

Hi, I have the following answer;... (answered by ewatrrr)
sin^2x - sin^4x = (cos^2)(sin^2x) sin^2x - (sin^2x)(sin^2x) = (cos^2x)(sin^2x) sin^2x (answered by jim_thompson5910)
Prove: 1-cot^2x/1+cot^2x=2cos^2-1 I tried this: LHS... (answered by Alan3354)
cos(2x)=cos^2(x)-sin^2(x) (answered by robertb)
Prove 2 sin^2 x + cos... (answered by greenestamps)
Factor completely: sin^3(x) + cos^3(x) Select one: a. (sin(x) + cos(x))(sin^2(x) -... (answered by Alan3354)
sin(A+B) = sin A cos B + cos A sin B cos(A+B) =... (answered by vleith)
How proof this? 1)4* cos ^4 x + 4* sin ^2 -3 = cos ^2 2X 2) cos ^4 - sin ^4X = cos... (answered by solver91311)
Choose the matching expression for -tan x cos x = A sin^2x/cos^2 x B. 1/sec^2 X... (answered by josgarithmetic,ikleyn)