SOLUTION: Find all real numbers that satisfy the equation: cos(2pix) = 0 Here is my solution, but I don't know how to get the solution set: 2pix = pi/2 + 2kpi or 2pix = 3pi/2 + 2kpi x

Algebra ->  Trigonometry-basics -> SOLUTION: Find all real numbers that satisfy the equation: cos(2pix) = 0 Here is my solution, but I don't know how to get the solution set: 2pix = pi/2 + 2kpi or 2pix = 3pi/2 + 2kpi x       Log On


   



Question 632281: Find all real numbers that satisfy the equation:
cos(2pix) = 0
Here is my solution, but I don't know how to get the solution set:
2pix = pi/2 + 2kpi or 2pix = 3pi/2 + 2kpi
x = 1/4 + k or x = 3/4 + k

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all real numbers that satisfy the equation:
cos(2πx) = 0
2πx=π/2+2πk and 3π/2+2πk, k=integer
two equations:
2πx=π/2+2πk
4πx=π+4πk
4x=(1+4k)
x=%281%2B4k%29%2F4, k=integer
..
2πx=3π/2+2πk
4πx=3π+4πk
4x=3+4k
x=%283%2B4k%29%2F4, k=integer
solution:x=%281%2B4k%29%2F4, and x=%283%2B4k%29%2F4, k=integer