Trigonometric Functions

Front

What is the definition of a Trigonometric Function?

Back

A function that 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 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 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 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(x) = cos(90° - x) and cos(x) = sin(90° - x).

Tags

CCSS.HSF.TF.A.4

Front

What is the secant function?

Back

The reciprocal of the cosine function, defined as sec(x) = 1/cos(x).

Tags

CCSS.HSF.TF.A.2

Front

What is the cosecant function?

Back

The reciprocal of the sine function, defined as csc(x) = 1/sin(x).

Tags

CCSS.HSF.TF.A.2

Front

What is the cotangent function?

Back

The reciprocal of the tangent function, defined as cot(x) = 1/tan(x).

Tags

CCSS.HSF.TF.A.2

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(x) + cos²(x) = 1.

Tags

CCSS.HSF.TF.C.8

Front

How do you find the value of sec(x) if cos(x) = -2/3?

Back

sec(x) = 1/cos(x) = -3/2.

Tags

CCSS.HSF.TF.C.8