How do you find the period of y = 1 + 2sin [((pi x)/2) - (pi/4)]?

Dec 7, 2016

Explanation:

For a sine function of the general form:

$y = A \sin \left(B x + C\right) + D$

The period, $\tau$, is found, using the equation:

$\tau = \frac{2 \pi}{B}$

We observe that $B = \frac{\pi}{2}$ in the given equation:

$\tau = \frac{2 \pi}{\frac{\pi}{2}}$

$\tau = 4$