SOLUTION: Prove the identity : sin[(pi/2 - x ) + y ] = cos (x - y)

Algebra.Com
Question 1011260: Prove the identity : sin[(pi/2 - x ) + y ] = cos (x - y)
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use the sine and cosine of the difference of angles to assure yourself that and . Then:







John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS

Please prove this identity: sin[(pi/2 - x) + y] =... (answered by MathLover1)
Prove the following identity:... (answered by Edwin McCravy)
Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y (answered by solver91311)
Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y (answered by lynnlo)
Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y (answered by lynnlo)
Verify the identity. sin (x + y) - sin (x - y) = 2 cos x sin y (answered by jim_thompson5910)
prove the following identity sin(x)cos(y)=1/2[sin(x-y)-sin(x+y)] Thank you to the one (answered by khwang,mahan6221)
verify the identity cos (x + pi/2) = -sin... (answered by tommyt3rd)
verify the identity. cos (x + pi/2) = - sin... (answered by Theo,MathLover1)