# Explain how to find the exact value of sin(570°).

Find that the terminal side lands in quadrant III.
The angle is coterminal with a 210° angle.
The reference angle is 30°.
The sine of 30° is 1/2.
Sine is negative in quadrant III.
The sine of 570° is –1/2.

For e2020 users: Find that the terminal side lands in quadrant III. The angle is coterminal with a 210° angle. The reference angle is 30°. The sine of 30° is 1/2. Sine is negative in quadrant III. The sine of 570° is –1/2.

Find that the terminal side lands in quadrant III. The angle is coterminal with a 210° angle. The reference angle is 30°. The sine of 30° is 1/2. Sine is negative in quadrant III. The sine of 570° is –1/2. Step-by-step explanation:

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 ≤∅≤360570 – 360 = 210° So we need to find the equivalent of 210°  Method210° = 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

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Sin(570) = – 1/2 Step-by-step explanation: 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.

-1/2 Step-by-step explanation: Start by subtracting 360° from 570°, obtaining 210°.  These two angles share the same terminal side, located in Quadrant III, and thus share their trig function values. Similarly, subtract 180° from 210°, obtaining 30°.  In Quadrant III, the opposite side is -1, the adjacent side is -√3/2 and the hypotenuse is 2. The sine of 570° is thus opp/hyp, or -1/2.