已知x+y=根号2sin(a+π/4),x-y=根号2sin(a-π/4),求证x^2+y^2=1
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/14 15:03:15
已知x+y=根号2sin(a+π/4),x-y=根号2sin(a-π/4),求证x^2+y^2=1
![已知x+y=根号2sin(a+π/4),x-y=根号2sin(a-π/4),求证x^2+y^2=1](/uploads/image/z/17291007-63-7.jpg?t=%E5%B7%B2%E7%9F%A5x%2By%3D%E6%A0%B9%E5%8F%B72sin%28a%2B%CF%80%2F4%29%2Cx-y%3D%E6%A0%B9%E5%8F%B72sin%28a-%CF%80%2F4%29%2C%E6%B1%82%E8%AF%81x%5E2%2By%5E2%3D1)
2x=√2(sin(a+π/4)+sin(a-π/4))=√2(sin(a+π/4)-cos(a+π/4))
2y=√2(sin(a+π/4)+cos(a+π/4))
x^2+y^2=1/2(sin(a+π/4)-cos(a+π/4))^2+1/2(sin(a+π/4)+cos(a+π/4))^2
=1/2(1-sin2a)+1/2(1+sin2a)=1
2y=√2(sin(a+π/4)+cos(a+π/4))
x^2+y^2=1/2(sin(a+π/4)-cos(a+π/4))^2+1/2(sin(a+π/4)+cos(a+π/4))^2
=1/2(1-sin2a)+1/2(1+sin2a)=1
已知函数y=2sin(2x-π/4)-2根号2sin^2x
(1/2)已知实数x,y,a满足:根号(x+y-8)+根号(8-x-y)=根号(3x-y-a)+根号(x-2y+a+3)
已知(x/a)cosθ+(y/b)sinθ=1,(x/a)sinθ-(y/b)cosθ=1,求证(x^2/a^2)+(y
已知函数y=2cosxsin(x+π/3)-根号3 *(sin^2) x +sinxcosx
求导的几道题.y=sin^2xcos2x.y=lntan x/2.y=1/cos^x.y=ln(x+根号下x^2-a^2
已知向量a=(根号2sin(4/π+x)+1,-根号3),b=(根号2sin(4/π+x)-1,cos2x函数f(x)=
已知tanx=-1/3,cosy=根号5/5,求tan(x+y)的值和函数f(x)=根号2sin(a-x)+cos(a+
函数y=根号下2sin(x+π/4)+1的定义域为
函数y=根号2sin(x+π/4)+1的定义域为什么?
已知实数x.y满足根号x+y-8+根号8-x-y=根号3x-y-a+根号x-2y+a+3
已知函数y=4 cos²x+4倍根号3 sin x cos x-2,x∈R.
函数Y=根号3sin(1/2X-π/4),当X=( )时,Y最大值为( ) 当X=( )时,Y最小值为( )