In the function f(t) = sin(t), what is the effect of multiplying t by a coefficient of 2? changes the amplitude to 2 changes the amplitude to ½ changes the period to pi changes t…

Question

asked Oct 6, 2019 155k views

1 Answer

Matt Sieker · Answer 1 · 2019-10-12T16:12:27+0000

Answer:

"changes the period to pi"

Explanation:

f(t) = Sin(t),

Here, t is the period, by definition.

Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.

Multiplying t by a number that is between 0 and 1 makes the period expanded.

For the first, if we multiply the period by a, the period becomes
$(2\pi)/(a)$

Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :

$(2\pi)/(2)=\pi$

Third answer choice is right.