判断下列函数奇偶性,1.f(x)=cos(π/2+2X)COS(π+x) 2.f(x)=根号下(1+sinx)+根号下(1-sinx)
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判断下列函数奇偶性,1.f(x)=cos(π/2+2X)COS(π+x) 2.f(x)=根号下(1+sinx)+根号下(1-sinx)
判断下列函数奇偶性,1.f(x)=cos(π/2+2X)COS(π+x) 2.f(x)=根号下(1+sinx)+根号下(1-sinx)
判断下列函数奇偶性,1.f(x)=cos(π/2+2X)COS(π+x) 2.f(x)=根号下(1+sinx)+根号下(1-sinx)
1.f(x)=cos(π/2+2X)COS(π+x)=-sin2x*(-cosx)=sin2xcosx
f(-x)=sin(-2x)cos(-x)=-sin2xcosx=-f(x)
∴ f(x)是奇函数
2.f(x)=根号下(1+sinx)+根号下(1-sinx)
f(-x)=根号下[1+sin(-x)]+根号下[1-sin(-x)]
=根号下(1-sinx)+根号下(1+sinx)=f(x)
∴ f(x)是偶函数.