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 (sin⁻¹)?

Back

The range of the inverse sine function is [-π/2, π/2].

Front

What is the range of the inverse cosine function (cos⁻¹)?

Back

The range of the inverse cosine function is [0, π].

Front

What is the range of the inverse tangent function (tan⁻¹)?

Back

The range of the inverse tangent function is (-π/2, π/2).

Front

How do you find the angle using the inverse sine function?

Back

To find the angle using the inverse sine function, use the formula: x = sin⁻¹(y), where y is the ratio of the opposite side to the hypotenuse.

Front

How do you find the angle using the inverse cosine function?

Back

To find the angle using the inverse cosine function, use the formula: x = cos⁻¹(y), where y is the ratio of the adjacent side to the hypotenuse.

Front

How do you find the angle using the inverse tangent function?

Back

To find the angle using the inverse tangent function, use the formula: x = tan⁻¹(y), where y is the ratio of the opposite side to the adjacent side.

Front

What is the value of sin⁻¹(1/2)?

Back

The value of sin⁻¹(1/2) is π/6.

Front

What is the value of cos⁻¹(1/2)?

Back

The value of cos⁻¹(1/2) is π/3.

Front

What is the value of tan⁻¹(1)?

Back

The value of tan⁻¹(1) is π/4.