SOLUTION: Need desperate help!!! 1. Find the amplitude, if it exists, and the period of: y=cos3theta 2. Find the amplitude, if it exists, and the period of: y=tan1/4theta I have to show

Question 172971: Need desperate help!!!
1. Find the amplitude, if it exists, and the period of: y=cos3theta
2. Find the amplitude, if it exists, and the period of: y=tan1/4theta
I have to show my work and don't know where to begin.
Thanks
Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
I will only do number 1.
1. Find the amplitude, if it exists, and the period of: y=cos3theta
I will use the letter "t" for theta.
We have y = cos3t
The amplitude is the absolute value of the number written infront of the trig function.
In this case, the amplitude = |1| = 1
To find the period, we need to see what happens to 3t as it varies between 0 and 2pi. Why between this interval? Because cosine is periodic with 2pi.
0 Divide each term by 3.
0/3 0 To find the period, subtract 0 from 2pi/3
Period = 2pi/3 - 0
period = 2pi/3
Final answer:
amplitude = 1
period = 2pi/3

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