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
The correct decimal expansion of 50 is; (5× 10) + (0× 10⁰)
<h3>Decimal expansion of numbers</h3>
According to the question;
- We are required to determine the correct decimal expansion of 50.
The correct decimal expansion of 50 can be evaluated by;
First, we must assign indices of 10 accordingly.
Hence; we have;
Ultimately, the correct decimal expansion of 50 is; (5× 10) + (0× 10⁰).
Read more bon decimal expansion of numbers;
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the correct answer would be 500 words.