Sine, Cosine, Tangent Flashcard

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(θ) = 0.5, what is the angle θ?

Back

θ = 30° or θ = 150°.

Tags

CCSS.HSF.TF.B.7

Front

If cos(θ) = 0.6, what is the angle θ?

Back

θ = 53.13° or θ = 306.87°.

Tags

CCSS.HSF.TF.B.7

Front

If tan(θ) = 1, what is the angle θ?

Back

θ = 45° or θ = 225°.

Tags

CCSS.HSF.TF.B.7

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Tags

CCSS.HSF.TF.C.8

Front

How do you find the length of a side using sine?

Back

Use the formula: sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you find the length of a side using cosine?

Back

Use the formula: cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you find the length of a side using tangent?

Back

Use the formula: tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8