Question

Finding periods and amplitudes of sine and cosine graphs?

Answer 1

\[Period=\frac{2\pi}{b}\]
Amplitude= absolute of the first number, it will always be positive.

Answer 2

\[y=2\cos(\theta/5 - 4\pi/3)\]

Answer 3

I need to find the period for that one.

Answer 4

b = 1/5

Answer 5

your b value has to be in front of the unknown inside the brackets so yeh @him1618 is correct.

Answer 6

so period is 2pi/b = 10pi

Answer 7

And the amplitude for this one. \[y= \frac{ 1 }{ 3 }\sin(6\theta-\frac{ 7\pi }{ 4 }) -5 \]

Answer 8

Alright, period one makes sense. :)

Answer 9

b=6 for this one

Answer 10

But how about finding the amplitude? I'm just not sure because of the subtraction of 5 at the end.