SOLUTION: Given sin (x+y)= sin x cos y + cos x sin y and cos(x+y) = cos x cos y -sin x sin y derive a formula for cos(2x)

Algebra.Com
Question 1111748: Given sin (x+y)= sin x cos y + cos x sin y
and cos(x+y) = cos x cos y -sin x sin y
derive a formula for cos(2x)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
derive a formula for cos(2x)
-----
cos(2x) = cos(x+x) = cos*cos - sin*sin = cos^2(x) - sin^2(x)

RELATED QUESTIONS

Can you help me please; Given sin (x+y) = sin x cos y + cos x sin y and cos (x+y) =... (answered by Alan3354)
Can you help battle with this; Given ; sin(x+y) = sin x cos y +cos x sin y and cos... (answered by Alan3354)
Given sin (x+y)= sin x cos y + cos x sin y and cos(x+y) = cos x cos y - sin x sin y... (answered by Alan3354)
Can you help me please ;Given; sin (x+y) = sin x cos y + cos x sin y and cos (× + y)= (answered by Boreal,solver91311)
Simplify cos(x)cos(y) +... (answered by Edwin McCravy)
Verify the identity. (cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + (answered by solver91311)
Simplify... (answered by addingup)
sin(x+y)=sin(x)cos(y)+sin(y)cos(x) 20 sin(x)+21... (answered by Edwin McCravy)
Simplify the given expression.... (answered by jim_thompson5910)