Inverse Trig Functions

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.

Front

What is the range of the function tan^(-1)(x)?

Back

The range of tan^(-1)(x) is (-π/2, π/2).

Front

Calculate the angle θ: tan^(-1)(1) = θ

Back

θ = π/4 radians.

Front

If tan^(-1)(x) = π/4, what is the value of x?

Back

x = 1.

Front

What is the definition of sec^(-1)(x)?

Back

Sec^(-1)(x) is the inverse function of the secant function, giving the angle whose secant is x.

Front

If sec^(-1)(x) = 2π/3, what is the value of x?

Back

x = -2.

Front

What is the range of the function sec^(-1)(x)?

Back

The range of sec^(-1)(x) is [0, π/2) ∪ (π/2, π].

Front

If cot^(-1)(x) = 3π/4, find the value of x.

Back

x = -1.

Front

What is the definition of cos^(-1)(x)?

Back

Cos^(-1)(x) is the inverse function of the cosine function, giving the angle whose cosine is x.

Front

Find the value of θ: cos^(-1)(-0.866) = θ

Back

θ = 150 degrees.