Home > Trigonometry > Amplitude, Period and Frequency

How do you find the amplitude, period, phase shift for #y=2cosx#?

Answer 1

Aaliyah Abdullah

#2,2pi,0#

#"the standard form of the cosine function is"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=acos(bx+c)+d)color(white)(2/2)|)))#

#"where amplitude "=|a|," period "=(2pi)/b#

#"phase shift "=-c/b" and vertical shift "=d#

#"here "a=2,b=1" and "c=d=0#

#rArr"amplitude "=|2|=2," period "=2pi#

#"there is no phase shift"#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Madelyn Adams

For the function ( y = 2 \cos(x) ), the amplitude is 2, the period is ( 2\pi ), and there is no phase shift.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.