find the period and the amplitude of the trig function graphed below. period: ?π, amplitude:
find the period and the amplitude of the trig function graphed below. period: ?π, amplitude:
Answer
Explanation:
Step1: Find the period
The period of a trigonometric function is the length of one complete cycle. Looking at the graph, from (0) to (\pi) is half of a cycle. So one full cycle (period) is ( \pi).
Step2: Find the amplitude
The amplitude is the maximum distance from the mid - line to the peak (or trough) of the function. The mid - line is (y = 0). The maximum value of the function is (y=3) and the minimum is (y = - 3). The amplitude (A=\frac{\text{Max}-\text{Min}}{2}=\frac{3-(-3)}{2}=3)
Answer:
Period: (\pi), Amplitude: (3)