Question

已知函数fx=Asin(wx+φ) (x∈R,A>0,w>0,0

Answer 1

A=2

T=4*[π/6-(-π/6)]=4π/3w=2π/(4π/3)=1.5f(x)=2sin(1.5x+φ)2sin(1.5*π/6+φ)=2π/6+φ=π/2φ=π/3

f(x)=2sin(1.5x+π/3)

g(x)=[f(x-π/12)]^2

=[2sin(1.5(x-π/12)+π/3)]^2

=[2sin(1.5x+π/12)]^2

=2-2cos(3x+π/6)

-π/6≤x≤π/3

-π/3≤3x+π/6≤7π/6

3x+π/6=π

x=5π/18

ymax=4