Question

Determine the period of the sin function y=0.75cos pi/2 x-0.5

a)4 b)pi/2 c)3/4 d)0.5

Answer 1

\[ y= A cos(\frac{2 \pi}{T} x +\phi)\]
where A is the amplitude
T is the period
\(\phi\) is the phase

to find the period, equate 2pi/T to the coefficient of x inside the cos
\[ \frac{2 \pi}{T}= \frac{\pi}{ 2} \]
and solve for T

Answer 2

do i cross multiply