Quick answer Sin(570) = - 1/2 Comment 570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.
Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.
What is 570° (∅) degrees equivalent to? We keep on subtracting 360 until we get a number between 0 and 360 inclusive.
Written this way 0 ≤∅≤360 570 - 360 = 210°
So we need to find the equivalent of 210°
Method 210° = 180° + 30° This means that ∅ is 30° below the x axis in the 3rd quadrant.
Sin(30) = 1/2 In the third quadrant, the sine is minus. so sin(210°) = - 1/2 <<<<<<< Answer
