State Period & Phase Shift

[nycmathguy]

 

[MathLover1]

y= 2cot((pi/3)x+pi/6))

For f(x)=A*g(Bx-C)+D, where gt(x) is one of the basic trig functions, C/B is phase shift

period= (periodicity of cot (x ))/B

periodicity of cot (x ) is pi

period: pi/ (pi/3)=3

phase shift :

in your case C=pi/6 and B=pi/3

so phase shift is ( pi/6)(pi/3)=3/6= 1/2

 

[nycmathguy]

y= 2cot((pi/3)x+pi/6))

For f(x)=A*g(Bx-C)+D, where gt(x) is one of the basic trig functions, C/B is phase shift

period= (periodicity of cot (x ))/B

periodicity of cot (x ) is pi

period: pi/ (pi/3)=3

phase shift :

in your case C=pi/6 and B=pi/3

so phase shift is ( pi/6)(pi/3)=3/6= 1/2

Very cool. Understood.