Draw the graph of y = sin x and y = 2cos x between 0 and pie on the same axes
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Answer:
0, ± π
2 , ±π, ± 3π
2 , . . .
Problem 2. Where are the zeros of y =sin 3x?
At 3x = nπ; that is, at
x = nπ
3 .
Which numbers are these?
The multiples of π
3 .
The graph of y = sin x
The zeros of y = sin x are at the multiples of π. And it is there that the graph crosses the x-axis, because there sin x = 0. But what is the maximum value of the graph, and what is its minimum value?
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