What is the period of function g(t)?

Thread starter Ry122
Start date May 3, 2009
Tags

Period

May 3, 2009

Ry122

How do I find the period of this function?
g(t) = cos (4t) + sin (t)

Physics news on Phys.org

Scientist returns to microbial roots and discovers potential quantum computing advancement
Physicists achieve record precision in measuring proton-to-electron mass ratio with H₂⁺
Quantum calculations provide a sharper image of subatomic stress

May 3, 2009

djeitnstine

Gold Member

Graph it and check? Or would you rather do it by analysis.

May 4, 2009

Ry122

i need to do it without graphing

May 4, 2009

HallsofIvy

Science Advisor

Homework Helper

sin t is periodic with fundamental period 2\pi and cos 4t is periodic with fundamental period \pi/2. Since 2\pi= 4(\pi/2), 2\pi is also a period of cos 4t.

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

View full post »

Thread 'Solve this problem that involves induction'

Hello, This is the attachment, the steps to solution are pretty clear. I guess there is a mistake on the highlighted part that prompts this thread. Ought to be ##3^{n+1} (n+2)-6## and not ##3^n(n+2)-6##. Unless i missed something, on another note, i find the first method (induction) better than second one (method of differences).

View full post »