Calc 3 Factoring a Trig equation

Thread starter lukasz08
Start date Oct 21, 2008
Tags

Calc 3 Factoring Trig

Oct 21, 2008

lukasz08

can you somehow factor the following equation ? sqrt(9sin^2(t)+16cos^2(t)+1/4)

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

Oct 21, 2008

mathman

Science Advisor

Homework Helper

Using sin^2 + cos^2 =1, you can simplify the expression inside the sqrt in 2 ways (cos^2 only or sin^2 only with + constant for either). Try it and see if you can do something with it.

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 »