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.

Tags

CCSS.HSF.TF.B.7

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].

Tags

CCSS.HSF-BF.B.4D

Front

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

Back

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

Tags

CCSS.HSF-BF.B.4D

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).

Tags

CCSS.HSF-BF.B.4D

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.

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of sin⁻¹(1/2)?

Back

The value of sin⁻¹(1/2) is π/6.

Tags

CCSS.HSF.TF.B.7

Front

What is the value of cos⁻¹(1/2)?

Back

The value of cos⁻¹(1/2) is π/3.

Tags

CCSS.HSF.TF.B.7

Front

What is the value of tan⁻¹(1)?

Back

The value of tan⁻¹(1) is π/4.

Tags

CCSS.HSF.TF.B.7