Solutions Based on Graph 2sinx=2?

Question

What are a few solutions for the equation 2sinx=2 based on its graph?

Are there more solutions than the ones on the graph? If so, why and what are some?

Answer 1

The equation is equivalent to the equation sinx = 1.

One solution is π/2.

Since y = sinx is periodic with period 2π, adding any multiple of 2π to π/2 yields another solution.

So, some other solutions are 5π/2 and -3π/2.

Answer 2

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