Question

Without graphing the function y = 5 sin(4.c), determine its amplitude and period. Leave answers in exact form; type pi for a. amplitude period =

Answer 1

Solution:- Given that

y= 5sin(4x) -----------(i)

Find amplitude and period then

We know that

y=asin(bx) --------------(ii)

Where Amplitude =|a| and period=2π/|b|

From equation (i) and (ii)

Then

a=5 , b=4

Now

Amplitude =|5|=5

and period =2π/|b|

Period =2π/|4|

=2π/4

Period =π/2