Question

question 7 (1 point)
determine the phase shift of the sinusoidal function ( y = 0.75 cos \frac{pi}{2} x - 0.5 ).
( \bigcirc ) a) ( \frac{pi}{2} ) rad
( \bigcirc ) b) 0.5 rad to the right
( \bigcirc ) c) 0.5 rad to the left
( \bigcirc ) d) 0 rad
question 8 (1 point)

Explanation:

Step1: Recall the general form of a sinusoidal function

The general form of a sinusoidal function is \(y = A\cos(B(x - C))+D\), where \(C\) is the phase - shift.
The given function is \(y = 0.75\cos(\frac{\pi}{2}x)-0.5\), which can be rewritten as \(y = 0.75\cos(\frac{\pi}{2}(x - 0))-0.5\)

Answer:

d) \(0\) rad