sin(∏/4-3x)cos(∏/3-3x)-cos(∏/6+3x)sin((∏/4+3x)

sin(∏/4-3x)cos(∏/3-3x)-cos(∏/6+3x)sin((∏/4+3x) 化简[1-(sin^4x-sin^2cos^2x+cos^4x)/(sin^2)]+3sin^2x 证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4 为什么4*sin(2x+∏/3)*cos(2x+∏/3)=2sin(4x+2∏/3) 化简下面的三角函数f(x)=sin^2x+2√3sin(x+∏/4)cos(x-∏/4)-cos^2-√3 2(sin^6x+cos^6)-3(sin^4x+cos^4x) (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 化简sin(x)(cos(x)+cos(3x)+cos(5x)+cos(7x)) 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 关于sin^2x+cos^2x 的应用式子：cos^6x+sin^6x=（cos^2x+sin^2x)(cos^4x-cos^2xsin^x+sin^4x)=(cos^2x+sin^2x)^2-3sin^2xcos^2x 求这两步算法中的具体思路 ps:cos^2x=cosx的二次方 求证(3-sin^4 x-cos^4 x)/2cos^2 x=1+tan^2 x+sin^2 x 化简sin^4x+cos^4x-3/4 化简:sin^4 x+cos^4 x-3/4 求4sin(3x)cos(x)的导数式如题 ∫cos^4x/sin^3x dx=?