Trig - Inverse Functions

Front

What is the definition of an inverse trigonometric function?

Back

An inverse trigonometric function is a function that reverses the action of a trigonometric function, allowing us to find the angle that corresponds to a given trigonometric ratio.

Front

What is the range of the inverse sine function (sin⁻¹)?

Back

The range of the inverse sine function is [-90°, 90°] or [-π/2, π/2] in radians.

Front

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

Back

The range of the inverse cosine function is [0°, 180°] or [0, π] in radians.

Front

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

Back

The range of the inverse tangent function is (-90°, 90°) or (-π/2, π/2) in radians.

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 θ = sin⁻¹(opposite/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 θ = cos⁻¹(adjacent/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 θ = tan⁻¹(opposite/adjacent).

Front

What is the relationship between sine and its inverse function?

Back

If y = sin(θ), then θ = sin⁻¹(y).

Front

What is the relationship between cosine and its inverse function?

Back

If y = cos(θ), then θ = cos⁻¹(y).

Front

What is the relationship between tangent and its inverse function?

Back

If y = tan(θ), then θ = tan⁻¹(y).