Sine, Cosine, Tangent Stations

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

If sin X = 3/5, what is cos X?

Back

Using the Pythagorean identity, cos X = √(1 - sin²X) = √(1 - (3/5)²) = 4/5.

Tags

CCSS.HSF.TF.C.8

Front

What is the relationship between sine and cosine?

Back

sin²X + cos²X = 1 for any angle X.

Tags

CCSS.HSF.TF.C.8

Front

How do you find the opposite side in a right triangle using sine?

Back

Opposite side = hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the adjacent side in a right triangle using cosine?

Back

Adjacent side = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the tangent of an angle?

Back

Tangent = opposite side / adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the value of tan 45°?

Back

tan 45° = 1.

Tags

CCSS.HSG.SRT.C.7

Front

If the hypotenuse is 20 and the angle is 30°, what is the length of the opposite side?

Back

Opposite side = 20 * sin(30°) = 20 * 1/2 = 10.

Tags

CCSS.HSG.SRT.C.8