Find Period of Sine and Cosine

Section 4.5



For y = a sin bx and y = a cos bx, the period is 2pi/b.

Question 6

P = 2pi/2 = pi

Question 8

P = 2pi/(pi/3)

P = 2pi(3)/(pi/3)(3/1)

P = 6pi/pi

P = 6

Question 10

P = 2pi/(1/6)

P = 2pi(6)/(1/6)(6/1)

P = 12pi

Question 12

P = 2pi/10pi

P = 2/10

P = 1/5

 

all answers for period are correct

what is about amplitude?

 

I decided to divide the question into two parts. I answered the amplitude part of the question in a separate thread.