Sine, Cosine, and Tangent Review

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

Calculate sin(30°).

Back

0.5

Tags

CCSS.HSG.SRT.C.6

Front

Calculate cos(60°).

Back

0.5

Tags

CCSS.HSG.SRT.C.7

Front

Calculate tan(45°).

Back

1

Tags

CCSS.HSG.SRT.C.7

Front

If sin Z = 5/13, what is cos Z?

Back

cos Z = 12/13 (using the Pythagorean identity).

Tags

CCSS.HSF.TF.C.8

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Tags

CCSS.HSF.TF.C.8

Front

If tan A = 3/4, what is sin A?

Back

sin A = 3/5 (using the Pythagorean theorem to find the hypotenuse).

Tags

CCSS.HSG.SRT.C.7

Front

What is the relationship between sine, cosine, and tangent?

Back

tan(θ) = sin(θ) / cos(θ).

Tags

CCSS.HSG.SRT.C.7