Sine, Cosine, and Tangent Ratios

Front

What is the definition of Sine in a right triangle?

Back

Sine is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Front

What is the definition of Cosine in a right triangle?

Back

Cosine is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Front

What is the definition of Tangent in a right triangle?

Back

Tangent is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Front

What is the formula for Sine?

Back

Sine (θ) = Opposite / Hypotenuse.

Front

What is the formula for Cosine?

Back

Cosine (θ) = Adjacent / Hypotenuse.

Front

What is the formula for Tangent?

Back

Tangent (θ) = Opposite / Adjacent.

Front

If the opposite side is 14 and the hypotenuse is 50, what is the Sine of the angle?

Back

Sine = 14 / 50 = 0.28.

Front

If the adjacent side is 48 and the hypotenuse is 50, what is the Cosine of the angle?

Back

Cosine = 48 / 50 = 0.96.

Front

If the opposite side is 14 and the adjacent side is 48, what is the Tangent of the angle?

Back

Tangent = 14 / 48 = 0.29.

Front

What ratio would you use to find the length of the opposite side if you know the angle and the hypotenuse?

Back

Use Sine.