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 for complementary angles?

Back

sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Tags

CCSS.HSG.SRT.C.7

Front

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

Back

sin(θ) = 3/5 = 0.6.

Tags

CCSS.HSG.SRT.C.6