# Trig HELP

• August 17th 2006, 06:59 AM
Luckyjoshua
Trig HELP
y=2sin(4x+*Pi*)+3

I need the period, the domain, the range...and i have no idea to get the period...ahh!!!!
• August 17th 2006, 07:29 AM
ThePerfectHacker
Quote:

Originally Posted by Luckyjoshua
y=2sin(4x+*Pi*)+3

I need the period, the domain, the range...and i have no idea to get the period...ahh!!!!

The period is $2\pi$ divided by the frequency. The frequency is the number in front of x which in this case is 4. Thus,
$f=\frac{2\pi}{4}=\frac{\pi}{2}$.

The domain is any number. Because you can calculate sine for any value.

The range is tricker. You need to find the amplitute first which is 2. Then the highest value is take is 3+2=5 and the smallest is 3-2=1. Thus the range is,
$1\leq y\leq 5$