Mathematics

Problem

For

x

in the interval

[0,2\pi]

, consider the trigonometric function

y=2\sin x

. a. (i) Find all values of

x

[0,2\pi]

at which the curve meets the

x

-axis. b. (ii) Calculate the exact numerical value of the area enclosed between the curve

y=2\sin x

and the

x

-axis over the interval

[0,2\pi]