作业帮Given f(x)=sinx and g(x)=cosx.Determine the zeros of each of
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/09 04:52:28
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）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
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
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