Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Draw three waves of the form on one graph, for from 0 to 2 seconds: and Hz, and Hz, and and Hz. Give each a label. How many full waves does each draw in the 2 seconds, and what is the largest value of each?
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. The same formula, three times, with different values of and . A wave of frequency makes full waves in each second, so in two seconds. The largest value of a sine is 1, so the largest value of the wave is .
Check. The wave with is three times as quick: it has 6 full waves in 2 seconds, and the others have 2. The amplitude is the height of the wave: 1, 2 and 1.
Answer: 2, 2 and 6 full waves, and the largest values are 1, 2 and 1.
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