Trig Functions

Front

What is the definition of a trigonometric function?

Back

A trigonometric function relates the angles of a triangle to the lengths of its sides.

Tags

CCSS.HSF.TF.A.2

Front

What is the sine function?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ) for any angle θ.

Tags

CCSS.HSG.SRT.C.7

Front

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

Back

Use the formula: sin(θ) = opposite/hypotenuse, rearranging to find the opposite side: opposite = hypotenuse * sin(θ).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

Use the formula: cos(θ) = adjacent/hypotenuse, rearranging to find the adjacent side: adjacent = hypotenuse * cos(θ).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

Use the formula: tan(θ) = opposite/adjacent, rearranging to find the opposite side: opposite = adjacent * tan(θ).

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.8

Front

What is the value of sin(30°)?

Back

sin(30°) = 0.5.

Tags

CCSS.HSG.SRT.C.7