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How many solutions does the equation sin(5x) = 1/ I have on the interval(0, 2π]?

How many solutions does the equation sin(5x) = 1/ I have on the interval(0, 2π]?-example-1

1 Answer

6 votes

Answer:

10

Step-by-step explanation:

The graph of sin(x) = 1/2 has two solutions. Because the graph is

Then, the graph for sin(5x) is horizontal compression by a factor of 5, which means that sin(5x) = 1/2 will have 10 solutions, because

2(5) = 10

Therefore, the answer is 10.

How many solutions does the equation sin(5x) = 1/ I have on the interval(0, 2π]?-example-1
User Deykun
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