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$Find the Sine, Cosine, and Tangent Values$

Answer 1

Abigail Nelson

Benjamin Clark

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

Alex Thompson

Lily Perez

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

Amelia Mitchell

John Anderson

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.