Trigonomic Functions (Check My Solution)

1. Find the amplitude, period, and phase shift of the function.

$\displaystyle y=3cos(2x+pi)$

What I think it should be:

amplitude=3

period=$\displaystyle pi$

phase shift=2

2. Write the equation of sine that has the given characteristics:

amplitude=3

period=$\displaystyle pi/2$

phase shift=2

What I think it should be:

$\displaystyle y=3sin[3(x-2)]$

You tell me if you are right

Quote:

Originally Posted by

**wickwiki** 1. Find the amplitude, period, and phase shift of the function.

$\displaystyle y=3cos(2x+pi)$

What I think it should be:

amplitude=3

period=$\displaystyle pi$

phase shift=2

2. Write the equation of sine that has the given characteristics:

amplitude=3

period=$\displaystyle pi/2$

phase shift=2

What I think it should be:

$\displaystyle y=3sin[3(x-2)]$

in the equation $\displaystyle y=acos(bx+c)$....the amplitude is $\displaystyle |a|$...the period is $\displaystyle \frac{2\pi}{|b|}$ and the phase shift is $\displaystyle \frac{-c}{b}$...so are you right?