help trig

sin(2x) = 2/3 

2sin(x)cos(x) = 2/3

sin(x)cos(x) = 1/3

sin^2(x)cos^2(x) = 1/9

3sin^2(x)cos^2(x) = 1/3

 

sin^2(x) + cos^2(x) = 1

sin^6(x) + 3sin^4(x)cos^2(x) + 3sin^2(x)cos^4(x) + cos^6(x) = 1

sin^6(x) + cos^6(x) + 3sin^2(x)cos^2(x)(sin^2(x) + cos^2(x)) = 1

sin^6(x) + cos^6(x) + 3sin^2(x)cos^2(x)(1) = 1

sin^6(x) + cos^6(x) + 3sin^2(x)cos^2(x) = 1

sin^6(x) + cos^6(x) + 1/3 = 1

sin^6(x) + cos^6(x) = 2/3

 

=^._.^=