y=2sin∧x-1的週期是多少?奇函數還是偶函數?

y=2sin∧x-1的週期是多少?奇函數還是偶函數?

y=2sin²;x-1
=-(1-2sin²;x)
=-cos2x
∴T=2π/2=π
∵f(-x)=-cos(-2x)=-cos2x=f(x)
∴f(x)是偶函數