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.

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.

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.

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.

Front

What is the relationship between sine and cosine?

Back

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

Front

What is the secant function?

Back

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

Front

What is the cosecant function?

Back

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

Front

What is the cotangent function?

Back

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

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(x) + cos²(x) = 1.

Front

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

Back

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