若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.
来源:学生作业帮助网 编辑:六六作业网 时间:2025/02/03 11:11:38
若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范
若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.
若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.
若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.
sin(x+3п)cos(x-п)=2a+1
(-sinx)(-cosx)=2a+1
sinxcosx=2a+1
sin(2x)=4a+2
-1≤sin(2x)≤1
-1≤4a+2≤1
-3/4≤a≤-1/4
a的取值范围为[-3/4,-1/4]
sin(x+3п)cos(x-п)=2a+1
-sinx*(-cosx)=2a+1
sinxcosx=2a+1
1/2*2sinxcosx=2a+1
-1<=sin2x=2(2a+1)<=1
-1/2<=2a+1<=1/2
-3/2<=2a<=-1/2
-3/4<=a<=-1/4
sin(x+3п)cos(x-п)
=(-sina)(cosa)
=sinacosa
=1/2*sin2a=2a+1
则-1≤2a+1≤1
-2≤2a≤0
-1≤a≤0
sin(x+3π)cos(x-π)
=sin(x+3π)cos(π-x)
=(-sinx)(-cosx)
=sinxcosx
=(1/2)sin2x=2a+1
sin2x=2(2a+1)
根据正弦函数定义域
因-1≤sin2x≤1
则-1≤2(2a+1)≤1
-1/2≤2a+1≤1/2
-1-1/2≤2a≤1/2-1
-3/2≤2a≤-1/2
-3/4≤a≤-1/4
已知sin(x)+3cos(x)=2,求sin(x)-cos(x)/sin(x)+cos(x)=?
2sin^2x - 5sin x cos x=3 cos^2x,求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
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?
若F(sin x)=3-cos 2x 则F(cos x)=?
若sin x/2 - cos x/2 = 1/3,则sin x=?
若sin x/2-cos x/2=1/3,则sin x=
已知tan=2,求(cos x+sin x)/(cos x-sin x)+sin^2x
y=2cos x (sin x+cos x)
若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.
若sin(x+3п)cos(x-п)=2a+1,求实数a的取值范围.
sin(x/2)cos(x/2)=
sin[cos^2(x^3+x)],求导
y=(sin x + COS x)^2
求证(3-sin^4 x-cos^4 x)/2cos^2 x=1+tan^2 x+sin^2 x
Sin x-sin y=2/3 cos x-cos y=1/2 求cos(x-y)