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

Question

asked Jan 1, 2023 65.1k views

1 Answer

Deykun · Answer 1 · 2023-01-07T17:19:43+0000

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.