Trigonometric Ratios

Front

What are the three primary trigonometric ratios?

Back

Sine (sin), Cosine (cos), and Tangent (tan).

Front

Define the sine ratio in a right triangle.

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = opposite/hypotenuse.

Front

Define the cosine ratio in a right triangle.

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = adjacent/hypotenuse.

Front

Define the tangent ratio in a right triangle.

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

Back

1.

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

Use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the sides.

Front

Back

0.5.

Front

What is the relationship between the sine and cosine of complementary angles?

Back

sin(θ) = cos(90° - θ).

Front

Back

Input 24 into the sine function on the calculator to get approximately 0.4067.

Front

In triangle ABC, if angle A = 90°, angle B = 51°, and side AC = 8.8 feet, how do you find side AB?

Back

Use the sine ratio: sin(B) = opposite/hypotenuse, where opposite = AB and hypotenuse = AC.