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 formula to find sine?

Back

sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula to find cosine?

Back

cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula to find tangent?

Back

tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

If sin(θ) = 3/5, what is the value of cos(θ)?

Back

Using the Pythagorean identity, cos(θ) = √(1 - sin²(θ)) = √(1 - (3/5)²) = 4/5.

Tags

CCSS.HSF.TF.C.8

Front

What is the relationship between sine and cosine?

Back

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

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the tangent of an angle using sine and cosine?

Back

tan(θ) = sin(θ)/cos(θ).

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of sin(33°) in a right triangle where the hypotenuse is 14?

Back

sin(33°) = opposite/14, so opposite = 14 * sin(33°).

Tags

CCSS.HSG.SRT.C.6