化简sin^4x+cos^4x-3/4
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/25 21:02:39
化简sin^4x+cos^4x-3/4
化简sin^4x+cos^4x-3/4
化简sin^4x+cos^4x-3/4
sin^4x+cos^4x-3/4
=sin^4x+2sin^2xcos^2x+cos^4x-2sin^2xcos^2x-3/4
=(sin^2x+cos^2)^2-2sin^2xcos^2x-3/4
=1-2sin^2xcos^2x-3/4
=1/4-2sin^2xcos^2x
=1/4-1/2(sin2x)^2
=1/4-1/2(sin2x)^2
=1/4-1/2[(1-cos4x)/2]
=1/4-1/4+(cos4x)/4
=(cos4x)/4
化简[1-(sin^4x-sin^2cos^2x+cos^4x)/(sin^2)]+3sin^2x
化简sin^4x-sin^2x+cos^2x
化简:sin^4 x-sin^2 x+cos^2 x
化简cos^4x+sin^4x
化简:cos^4(X)-sin^4(X)
化简sin^4x+cos^2x
化简(sin^2x-cos^4x+cos^2x-sin^4x)/(sin^2x-cos^6x+cos^2x-sin^6x)
化简[1-(sin^4 x-sin^2 xcos^2 x+cos^4 x)]/(sin^2 x)+3sin^2 x
化简sin^4x+cos^4x-3/4
化简:sin^4 x+cos^4 x-3/4
化简 1-sin^4x-cos^4x/1-sin^6x-cos^6x
化简(1-cos^4x-sin^4x)/(1-cos^6x-sin^6x)
证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4
化简sin(3π-x)cos(x-3/2)cos(4π-x)/tan(x-5π)cos(π/2+x)sin(x-5/2π)
化简sin(3π-x)cos(x-3/2)cos(4π-x)/tan(x-5π)cos(π/2+x)sin(x-5/2π)
化简2sin^2[(π/4)+x]+根号3(sin^x-cos^x)-1
2(sin^6x+cos^6)-3(sin^4x+cos^4x)
化简:cos^2x(2cos^2x+3)-sin^2x(2cos^2x+3)-4sin^2xcos^2x+3