SOLUTION: Prove that: (sin a cos b+cos a sin b)^2+(cos a cos b-sin a sin b)^2 = 1

Algebra ->  Trigonometry-basics -> SOLUTION: Prove that: (sin a cos b+cos a sin b)^2+(cos a cos b-sin a sin b)^2 = 1      Log On


   



Question 1116833: Prove that:
(sin a cos b+cos a sin b)^2+(cos a cos b-sin a sin b)^2 = 1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


One term of the LHS is and the other is . So let , and , Q.E.D

John

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