which cosine function has maximum of 2, a minimum of -2, and a period of 2pi/3?
a. y=3 cos 2theta
b.y=2 cos 2theta/3
c.y=2 cos 3theta
d.y=2cos theta/3

Question

which cosine function has maximum of 2, a minimum of -2, and a period of 2pi/3? 
a. y=3 cos 2theta
b.y=2 cos 2theta/3
c.y=2 cos 3theta
d.y=2cos theta/3

awkwardpanda · Answer

evaluate csc 5pi/4
a. sqrt 2
b. sqrt 2/ 2
c. -sqrt2
d. -sqrt2/ 2

aravindg · Answer

Please post a single question at a time. Let's discuss the first question.

Do you know maximum value of cosine function?

awkwardpanda · Answer

Sorry, I've done it before but nobody has said anything so..

I don't.

aravindg · Answer

Okay maximum value of cosine is 1 and and minimum is -1. Keeping that in mind y=2 cos x has maximum 2 and min -2 ,y=3 cos x has maximum 3 and minimum -3. Do you follow?

sweetburger · Answer

@AravindG are you saying that in y=3cos x the 3 stretches the wave up and down?

aravindg · Answer

Exactly.

aravindg · Answer

3*1=3

sweetburger · Answer

I believe to find the period you use 2pi/b but i dont remeber what b is