Question

Identify the period for the trigonometric function: f(t)= 3cot(pi*t)
A.pi/3
B.3
C.1
D. pi

Answer 1

2pi/pi

Answer 2

Take for example: \(g(x)) = \sin\left(\pi x+\dfrac{\pi}{2}\right)+3\)

It follows the same order, except the format now would be \(y=A\sin(Bx)\) therefpre the period is: \(\dfrac{2\pi}{\pi} = 2\)

Answer 3

doesn't it just say identify so would it be just D. pi?

Answer 4

Yeah, period of a regular cotangent function is pi.

Answer 5

Can I ask another question? its about the same thing...

Answer 6

Wait a minute...

Answer 7

I found my mistake

Answer 8

Period for tangent/cotangent: \(P = \dfrac{\pi}{|B|}\)

Sine and cosine functions have a period of \(2\pi\) whereas cotangent, and tangent functions have a period of \(\pi\)

Answer 9

so its c?

Answer 10

Therefore, \(P = \dfrac{\pi}{\pi} = 1~\checkmark\)

Answer 11

thank you!

Answer 12

No problem, relearned something again today, haha.