$Find the Sine, Cosine, and Tangent Values$
Answer 1
Consider a point on the unit circle at an angle of $\theta = 45°$.
We know that:
$\sin(45°) = \frac{\sqrt{2}}{2}$
$\cos(45°) = \frac{\sqrt{2}}{2}$
$\tan(45°) = \frac{\sin(45°)}{\cos(45°)} = 1$
Thus, the sine, cosine, and tangent values of 45° are $\frac{\sqrt{2}}{2}$, $\frac{\sqrt{2}}{2}$, and 1 respectively.
Answer 2
Consider a point on the unit circle at an angle of $ heta = 30°$.
We know that:
$sin(30°) = frac{1}{2}$
$cos(30°) = frac{sqrt{3}}{2}$
$ an(30°) = frac{sin(30°)}{cos(30°)} = frac{frac{1}{2}}{frac{sqrt{3}}{2}} = frac{1}{sqrt{3}} = frac{sqrt{3}}{3}$
Thus, the sine, cosine, and tangent values of 30° are $frac{1}{2}$, $frac{sqrt{3}}{2}$, and $frac{sqrt{3}}{3}$ respectively.
Answer 3
Consider a point on the unit circle at an angle of $ heta = 60°$.
We know that:
$sin(60°) = frac{sqrt{3}}{2}$
$cos(60°) = frac{1}{2}$
$ an(60°) = frac{sin(60°)}{cos(60°)} = frac{frac{sqrt{3}}{2}}{frac{1}{2}} = sqrt{3}$
Thus, the sine, cosine, and tangent values of 60° are $frac{sqrt{3}}{2}$, $frac{1}{2}$, and $sqrt{3}$ respectively.
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