12/17 review inverse Trigonometric Functions

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

The range of arccos(x) is [0, π].

arccos(cos(θ)) = θ if 0 ≤ θ ≤ π; otherwise, arccos(cos(θ)) = 2π - θ.

tan(arccos(x)) = $$\frac{\sqrt{1-x^2}}{x}$$ , where x is in the range [-1, 1].

The principal value of tan^{-1}(-1) is $$-\frac{\pi}{4}$$ .

$$-\frac{4}{3}$$ .

The value of sin^{-1}(0) is 0.

If y = sin(x), then x = arcsin(y), where x is in the range [-π/2, π/2].

The value of tan(cos^{-1}(-1)) is 0.

The domain of arctan(x) is all real numbers (-∞, ∞).