Trigonometric Ratios

Front

What are the three primary trigonometric ratios?

Back

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

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

Back

1.

Tags

CCSS.HSF.TF.A.2

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.

Tags

CCSS.HSG.SRT.C.8

Front

Back

0.5.

Tags

CCSS.HSG.SRT.C.7

Front

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

Back

sin(θ) = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7

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.

Tags

CCSS.HSG.SRT.C.8