Inverse Trig Functions - Intro

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They include arcsin, arccos, and arctan.

Front

What is the range of the arcsin function?

Back

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

Front

What is the range of the arccos function?

Back

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

Front

What is the range of the arctan function?

Back

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

Front

Calculate the angle measure to the nearest degree: sinθ = 0.4848

Back

θ = 29°

Front

Calculate the angle measure to the nearest degree: cosθ = 0.4226

Back

θ = 65°

Front

Calculate the angle measure to the nearest degree: cosθ = 0.7431

Back

θ = 42°

Front

Calculate the angle measure to the nearest degree: tanθ = 19.0811

Back

θ = 87°

Front

Calculate the angle measure to the nearest degree: sinθ = 0.5150

Back

θ = 31°

Front

What is the formula for finding the angle using the sine function?

Back

θ = arcsin(value) where value is the sine of the angle.