Giải các phương trình lượng giác: 1) sin^3x + cos^3x = 2(sin^5x + cos^5x); 2) 4sin^3x + 3cos^3x - 3sinx - 3sin^2cosx

1, sin^3x+cos^3x=2(sin^5x+cos^5x)
2, 4sin^3x+3cos^3x-3sinx-3sin^2cosx
3, sin2x(cotx+tan2x)=4cos^2x
4, 2sin3x-1/sinx=2cos3x+1/cosx
5, 1/cos^4x+(2/sin^2x)(1+cotxcot2x)=48
6, 3sinx-√3sin3x=1+4sin^3x
7, 2sin^3x-sinx=2cos^3x-cosx+cos2x
8, tanx-3cotx=4(sinx+√3cosx)
9, 3cos^4x-4sin^2xcos^2x+sin^4x=0
10, √2(sinx+cosx)=tanx+cotx
11, 3tan^2x+4tanx+4cotx+3cot^2x=-2