tell whether or not f(x) = 3 sin 2x - 5 cos x is a sinusoid. a. yes b. no please select the best answer from…

tell whether or not f(x) = 3 sin 2x - 5 cos x is a sinusoid. a. yes b. no please select the best answer from the choices provided o a o b

tell whether or not f(x) = 3 sin 2x - 5 cos x is a sinusoid. a. yes b. no please select the best answer from the choices provided o a o b

Answer

Answer:

A. Yes

Explanation:

Step1: Recall sinusoid definition

A sinusoid is a function of the form $y = A\sin(Bx - C)+D$ or $y=A\cos(Bx - C)+D$ or a linear - combination of sines and cosines with the same frequency.

Step2: Analyze given function

The function $f(x)=3\sin(2x)-5\cos(x)$ is a linear combination of sine and cosine functions. Although the arguments ($2x$ and $x$) are different, it is still a sinusoidal function. Sinusoidal functions can be composed of multiple sine and cosine terms with different frequencies. In general, any function of the form $a\sin(mx)+b\cos(nx)$ is a sinusoid.