Determine the sine, cosine, and tangent of the angle $ heta = 30^circ$ on the unit circle.

To determine the sine, cosine, and tangent of $\theta = 30^\circ$ on the unit circle, we first need to recall the unit circle values for this angle.

For $\theta = 30^\circ$:

$\sin(30^\circ) = \frac{1}{2}$

$\cos(30^\circ) = \frac{\sqrt{3}}{2}$

$\tan(30^\circ) = \frac{\sin(30^\circ)}{\cos(30^\circ)} = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}$

For the angle $ heta = 30^circ$ on the unit circle:

$sin(30^circ) = frac{1}{2}$

$cos(30^circ) = frac{sqrt{3}}{2}$

$ an(30^circ) = frac{sin(30^circ)}{cos(30^circ)} = frac{1/2}{sqrt{3}/2} = frac{1}{sqrt{3}} = frac{sqrt{3}}{3}$

For $ heta = 30^circ$:

$sin(30^circ) = frac{1}{2}$

$cos(30^circ) = frac{sqrt{3}}{2}$

$ an(30^circ) = frac{sqrt{3}}{3}$

Start Using PopAi Today