sin^3 x -cos^3 x sin^3 x -cos^3 x =(sin x -cos x )(sin^2 x +sin x*cos x +cos^2 x )问下这个是个公式还是什么?怎么样算出来的?

已知sin(x)+3cos(x)=2,求sin(x)-cos(x)/sin(x)+cos(x)=? sin[cos^2(x^3+x)],求导 根号3sin x+cos x要化简 化简[1-(sin^4x-sin^2cos^2x+cos^4x)/(sin^2)]+3sin^2x 2sin^2x - 5sin x cos x=3 cos^2x,求X, (1-(sin^4x-sin^2xcos^2x+cos^4x)/sin^2x +3sin^2x 化简[1-(sin^4 x-sin^2 xcos^2 x+cos^4 x)]/(sin^2 x)+3sin^2 x sin(45-3x)*cos(60-3x)-cos(30+3x)*sin(45+3x) ? sin(45-3x)*cos(60-3x)-cos(30+3x)*sin(45+3x) 化简 1/2cos x-根号3/2sin x 根3sin x+cos x 若cos x-sin x = 0.5,则cos^3 x-sin^3 x = 化简y=sin^2(x)+2sin(x)cos(x)+3cos^2(x) 证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4 cos x sin x=3,求cos x+sin x 化简sin(x)(cos(x)+cos(3x)+cos(5x)+cos(7x)) sin^3 x -cos^3 x sin^3 x -cos^3 x =(sin x -cos x )(sin^2 x +sin x*cos x +cos^2 x )问下这个是个公式还是什么?怎么样算出来的? 不定积分f cos*sin^3 X*dx 2(sin^6x+cos^6)-3(sin^4x+cos^4x)