Find the sine and cosine values for the angle $ heta = 30° $ on the unit circle.
Answer 1
Alex Thompson
To find the sine and cosine values for $ \theta = 30° $ on the unit circle, we need to locate the point on the unit circle corresponding to $ \theta = 30° $.
1. Convert degrees to radians, $ \theta = 30° = \frac{π}{6} $ radians.
2. From the unit circle, the coordinates for $ \theta = \frac{π}{6} $ are $ ( \cos(30°), \sin(30°) ) $.
3. Hence, $ \cos(30°) = \frac{\sqrt{3}}{2} $ and $ \sin(30°) = \frac{1}{2} $.
So, the cosine value is $ \frac{\sqrt{3}}{2} $ and the sine value is $ \frac{1}{2} $.
Answer 2
John Anderson
To determine the sine and cosine for $ heta = 30° $:
1. Convert degrees to radians: $ 30° = frac{π}{6} $ radians.
2. The unit circle gives us the coordinates $ ( cos(frac{π}{6}), sin(frac{π}{6}) ) $.
3. From the unit circle, $ cos(30°) = frac{sqrt{3}}{2} $ and $ sin(30°) = frac{1}{2} $.
Therefore, $ cos(30°) = frac{sqrt{3}}{2} $ and $ sin(30°) = frac{1}{2} $.
Answer 3
Lucas Brown
For $ heta = 30° $:
1. Convert to radians: $ heta = 30° = frac{π}{6} $.
2. Coordinates: $ cos(30°) = frac{sqrt{3}}{2} $, $ sin(30°) = frac{1}{2} $.
So, $ cos(30°) = frac{sqrt{3}}{2} $ and $ sin(30°) = frac{1}{2} $.
Start Using PopAi Today