Inverse Trig

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 relationship between sine and its inverse?

Back

If sin(θ) = x, then θ = arcsin(x).

Front

What is the relationship between cosine and its inverse?

Back

If cos(θ) = x, then θ = arccos(x).

Front

What is the relationship between tangent and its inverse?

Back

If tan(θ) = x, then θ = arctan(x).

Front

What is SOH CAH TOA?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of sine, cosine, and tangent: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

How do you find the missing angle using sine?

Back

To find the missing angle θ when given the opposite side and hypotenuse, use θ = arcsin(opposite/hypotenuse).

Front

How do you find the missing angle using cosine?

Back

To find the missing angle θ when given the adjacent side and hypotenuse, use θ = arccos(adjacent/hypotenuse).

Front

How do you find the missing angle using tangent?

Back

To find the missing angle θ when given the opposite side and adjacent side, use θ = arctan(opposite/adjacent).

Front

What is the range of the arcsin function?

Back

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

Front

What is the range of the arccos function?

Back

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