Given f(x)=sinx and g(x)=cosx.Determine the zeros of each of the following a)f(x)+g(x) b)f(x)* g(x) sinx+cosx=0 找出solutions abd 所有的零点sinx*cosx=0
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![Given f(x)=sinx and g(x)=cosx.Determine the zeros of each of the following a)f(x)+g(x) b)f(x)* g(x) sinx+cosx=0 找出solutions abd 所有的零点sinx*cosx=0](/uploads/image/z/11821666-58-6.jpg?t=Given+f%28x%29%3Dsinx+and+g%28x%29%3Dcosx.Determine+the+zeros+of+each+of+the+following+a%EF%BC%89f%EF%BC%88x%EF%BC%89%2Bg%EF%BC%88x%EF%BC%89+b%EF%BC%89f%EF%BC%88x%EF%BC%89%2A+g%EF%BC%88x%EF%BC%89+sinx%2Bcosx%3D0+%E6%89%BE%E5%87%BAsolutions+abd+%E6%89%80%E6%9C%89%E7%9A%84%E9%9B%B6%E7%82%B9sinx%2Acosx%3D0)
Given f(x)=sinx and g(x)=cosx.Determine the zeros of each of the following a)f(x)+g(x) b)f(x)* g(x) sinx+cosx=0 找出solutions abd 所有的零点sinx*cosx=0
Given f(x)=sinx and g(x)=cosx.Determine the zeros of each of the following
a)f(x)+g(x)
b)f(x)* g(x)
sinx+cosx=0 找出solutions abd 所有的零点
sinx*cosx=0
Given f(x)=sinx and g(x)=cosx.Determine the zeros of each of the following a)f(x)+g(x) b)f(x)* g(x) sinx+cosx=0 找出solutions abd 所有的零点sinx*cosx=0
a) sinx+cosx=sqrt(2)sin(x+pi/4) ( sqrt(2) 为2的开根号)
zeros:
x+pi/4=k*pi k is any integer
so all zeros are x=-pi/4+k*pi
b) sinx*cosx=1/2 sin(2x)
zeros:
2x=k*pi
x=k/2 * pi k is any integer
就是三角公式里面的和差化积, 积化和差
如果对三角函数比较熟悉,其实也可以不用和差化积, 积化和差 ;
画出两个函数的图像:
a) 找出两个曲线关于Y轴对称的点
b) 只要其中一个为0的点
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