M II 4.2.3 Inverse Trig Functions - Equations only

Front

What is the definition of the tangent function in terms of a right triangle?

Back

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

Front

What is the definition of the sine function in terms of a right triangle?

Back

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

Front

What is the definition of the cosine function in terms of a right triangle?

Back

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

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers.

Front

What is the inverse sine function and how is it denoted?

Back

The inverse sine function is denoted as sin^–1 or arcsin, and it returns the angle whose sine is a given number.

Front

What is the inverse cosine function and how is it denoted?

Back

The inverse cosine function is denoted as cos^–1 or arccos, and it returns the angle whose cosine is a given number.

Front

What is the inverse tangent function and how is it denoted?

Back

The inverse tangent function is denoted as tan^–1 or arctan, and it returns the angle whose tangent is a given number.

Front

How do you solve for an angle using the sine function?

Back

To solve for an angle using the sine function, use the equation x = sin^–1(opposite/hypotenuse).