# What is the period of f(t)=sin(3t-pi/4) ?

Feb 21, 2016

$\frac{2 \pi}{3}$

#### Explanation:

The general form of the sine function is : y = asin(bx+c)

where a represents the $\textcolor{b l u e}{\text{ amplitude }}$

the $\textcolor{red}{\text{ period }} = \frac{2 \pi}{b}$

and c represents the $\textcolor{\mathmr{and} a n \ge}{\text{ shift }}$

If + c is this denotes a shift to the left of c units
If - c this denotes a shift to the right of c units.

for sin(3t - pi/4 )color(red)" the period = (2pi)/3