Math Question - Inequalities

[Sophie]

Hi the answer is C, could someone explain why it is?

For what values ​​of x, with 0 < x <π, if there is sin(x) > sin(5π/18)?

A) 0 < x < 5π/18 and 13π/18 < x < π
B) 5π/18 < x < π/2
C) 5π/18 < x < 13π/18
D) 5π/18 < x < 7π/9
E) 5π/18 < x < π

[Juliette]

Hi!

You can use the trigonometric circle to solve:

Hope this helps!

[Sophie]

Thank you for your explanation! Do we need to memorize the unit circle?