Inverse Trig Functions

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that reverse the action of the standard trigonometric functions, allowing us to find angles when given a ratio of sides.

Front

What is the range of the inverse sine function (arcsin)?

Back

The range of arcsin is [-π/2, π/2].

Front

What is the range of the inverse cosine function (arccos)?

Back

The range of arccos is [0, π].

Front

What is the range of the inverse tangent function (arctan)?

Back

The range of arctan is (-π/2, π/2).

Front

What is the relationship between sine and its inverse function?

Back

If y = sin(x), then x = arcsin(y).

Front

What is the relationship between cosine and its inverse function?

Back

If y = cos(x), then x = arccos(y).

Front

What is the relationship between tangent and its inverse function?

Back

If y = tan(x), then x = arctan(y).

Front

Calculate tan[arccos(-1)].

Back

0.

Front

Calculate arccos(-√3/2).

Back

5π/6.

Front

What is the period of the function y = 3 sin(2x)?

Back

180.