Consider the function y(θ) = 12 + 6cos(5θ)

(a) What is the amplitude of the function?

(b) What is the period of the function?

(c) What is the largest value of the function?

Question

Consider the function y(θ) = 12 + 6cos(5θ)

(a) What is the amplitude of the function? 

(b) What is the period of the function? 

(c) What is the largest value of the function?

anonymous · Answer

amplitude = 6

anonymous · Answer

compare with Acost(wt+k)+b or similar forms

anonymous · Answer

I need largest value?

anonymous · Answer

I figured out amplitude and period.

anonymous · Answer

what is the value of time you obtained

anonymous · Answer

time?

anonymous · Answer

yes it is a periodic wave, right ? so if you put theta = 90 you should have y =12, function , that should give you a hint

anonymous · Answer

cosine is bounded by -1 and 1values which will guide this function

anonymous · Answer

RIght I understand that and I put 1 in to equal y but that didn't give me the right answer

anonymous · Answer

you cant put theta = 1, as one will be a degree, take values between  and 2pi for theta
 cos is max for thetha = 0 and theta = 2pi

anonymous · Answer

you are pretty much on right track

anonymous · Answer

take values between[0,2pi]

anonymous · Answer

I didn't put theta in as 1 I put y= 1 to try and complete the equation but I think I understand what you're saying

anonymous · Answer

sorry its difficult to type out everything here

anonymous · Answer

got it. Thank you the answer is 18 :)