Trig Ratios

Front

What are the three primary trigonometric ratios?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

Define sine in terms of a right triangle.

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

Define cosine in terms of a right triangle.

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

Define tangent in terms of a right triangle.

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the sine of a 30-degree angle?

Back

0.5

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine of a 60-degree angle?

Back

0.5

Tags

CCSS.HSG.SRT.C.7

Front

What is the tangent of a 45-degree angle?

Back

1

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the sine of an angle using a calculator?

Back

Use the sin function on the calculator and input the angle in degrees or radians.

Tags

CCSS.HSG.SRT.C.7

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ) for any angle θ.

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Tags

CCSS.HSF.TF.C.8