SOLUTION: Prove that {{{(1+cosx+isinx)^k + (1+cosx-isinx)^k}}} ={{{(2^(k+1))*cos((kx)/2)*cos^(k)(x/2)}}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Prove that {{{(1+cosx+isinx)^k + (1+cosx-isinx)^k}}} ={{{(2^(k+1))*cos((kx)/2)*cos^(k)(x/2)}}}       Log On


   

Question 1172498: Prove that %281%2Bcosx%2Bisinx%29%5Ek+%2B+%281%2Bcosx-isinx%29%5Ek =%282%5E%28k%2B1%29%29%2Acos%28%28kx%29%2F2%29%2Acos%5E%28k%29%28x%2F2%29

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

For the solution, see this link

https://socratic.org/questions/show-that-1-cos-theta-i-sin-theta-n-1-cos-theta-i-sin-theta-n-2-n-1-cos-theta-2-