Math / Trigonometry

QuestionDetermine the amplitude of the sinusoidal function $y=0.75 \cos \frac{\pi}{2} x-0.5$ . a) 0.5 b) $\frac{3}{4}$ c) $\frac{\pi}{2}$ d) $\frac{1}{2}$

Studdy Solution

STEP 1

1. The function given is a cosine function of the form $y = A \cos(Bx) + C$ .
2. The amplitude of a sinusoidal function $y = A \cos(Bx) + C$ is the absolute value of the coefficient $A$ .

STEP 2

1. Identify the coefficient $A$ in the function.
2. Calculate the amplitude as the absolute value of $A$ .

STEP 3

Identify the coefficient $A$ in the function $y = 0.75 \cos \frac{\pi}{2} x - 0.5$ .
In this function, the coefficient $A$ is $0.75$ .

STEP 4

Calculate the amplitude as the absolute value of $A$ .
The amplitude is $|0.75| = 0.75$ .
The amplitude of the sinusoidal function is $\boxed{\frac{3}{4}}$ .

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