(sin(x)^2)^5 - cos(x)^10 = 1
(1 - cos(x)^2)^5 - cos(x)^10 = 1
1 - 5cos(x)^2 + 10cos(x)^4 - 10cos(x)^6 + 5cos(x)^8 - cos(x)^10 - cos(x)^10 = 1
-2cos(x)^10 + 5cos(x)^8 - 10cos(x)^6 + 10cos(x)^4 - 5cos(x)^2 = 0
2cos(x)^10 - 5cos(x)^8 + 10cos(x)^6 - 10cos(x)^4 + 5cos(x)^2 = 0
cos(x)^2 * (2cos(x)^8 - 5cos(x)^6 + 10cos(x)^4 - 10cos(x)^2 + 5) = 0
cos(x)^2 = 0
x = pi/2 , 3pi/2
2cos(x)^8 - 5cos(x)^6 + 10cos(x)^4 - 10cos(x)^2 + 5 = 0