$What are the sine and cosine values for the angles 30°, 45°, and 60° on the unit circle?$

To solve for the sine and cosine values for the angles 30°, 45°, and 60° on the unit circle, we need to refer to the specific values they correspond to:

For 30° (or π/6 radians):

$\sin(30°) = \frac{1}{2}$

$\cos(30°) = \frac{\sqrt{3}}{2}$

For 45° (or π/4 radians):

$\sin(45°) = \frac{\sqrt{2}}{2}$

$\cos(45°) = \frac{\sqrt{2}}{2}$

For 60° (or π/3 radians):

$\sin(60°) = \frac{\sqrt{3}}{2}$

$\cos(60°) = \frac{1}{2}$

Let’s determine the sine and cosine values for the angles 30°, 45°, and 60° using the unit circle:

For 30° (or π/6):

$sin(frac{pi}{6}) = frac{1}{2}$

$cos(frac{pi}{6}) = frac{sqrt{3}}{2}$

For 45° (or π/4):

$sin(frac{pi}{4}) = frac{sqrt{2}}{2}$

$cos(frac{pi}{4}) = frac{sqrt{2}}{2}$

For 60° (or π/3):

$sin(frac{pi}{3}) = frac{sqrt{3}}{2}$

$cos(frac{pi}{3}) = frac{1}{2}$

Here are the sine and cosine values for 30°, 45°, and 60°:

For 30°:

$sin(30°) = frac{1}{2}$

$cos(30°) = frac{sqrt{3}}{2}$

For 45°:

$sin(45°) = frac{sqrt{2}}{2}$

$cos(45°) = frac{sqrt{2}}{2}$

For 60°:

$sin(60°) = frac{sqrt{3}}{2}$

$cos(60°) = frac{1}{2}$

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