question 28 (1 point) in the general equation y = acos kq, the period of the function is determined by the…

question 28 (1 point) in the general equation y = acos kq, the period of the function is determined by the value of a) a b) k c) y d) q

question 28 (1 point) in the general equation y = acos kq, the period of the function is determined by the value of a) a b) k c) y d) q

Answer

Explanation:

Step1: Recall cosine - function period formula

For the general cosine function $y = A\cos(Bx + C)+D$, the period $T$ is given by $T=\frac{2\pi}{|B|}$. In the given function $y = a\cos(kq)$, comparing with the general form, $B = k$.

Step2: Determine the period - determining variable

The period of the function $y = a\cos(kq)$ is $T=\frac{2\pi}{|k|}$, so the period is determined by the value of $k$.

Answer:

B. $k$