Sine, Cosine, and Tangent

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

What is the sine of 30 degrees?

Back

sin(30) = 0.5

Tags

CCSS.HSG.SRT.C.7

Front

What is the cosine of 60 degrees?

Back

cos(60) = 0.5

Tags

CCSS.HSG.SRT.C.7

Front

What is the tangent of 45 degrees?

Back

tan(45) = 1

Tags

CCSS.HSG.SRT.C.7

Front

If sin(θ) = 0.6, what is the value of cos(θ) using the Pythagorean identity?

Back

cos(θ) = √(1 - sin²(θ)) = √(1 - 0.6²) = √(0.64) = 0.8

Tags

CCSS.HSF.TF.C.8

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8