Inverse Trigonometric Functions

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
The slope or gradient m is defined as the of a function.

A real valued function f is if there exists a number p > 0 such that for all x in the domain of f , x + p is in the domain of f and f (x + p) = f (x) .

A real valued function f is an if for all x in the domain of f , -x is also in the domain of f and f(−x) = f(x) .

A real valued function f is an if for all x in the domain of f , -x is also in the domain of f and f(−x) = −f(x) .

The functions y A = sinαx and y B = cos β x are known as functions.

The restricted domain [0, π] is called the of cosine function.

The values of y = cos⁻¹x , −1 ≤ x ≤ 1, are known as of the function.

sin(sin⁻¹x) = .

tan(tan⁻¹x) = .

cos(cos⁻¹x) = .

sin⁻¹(1/x) =

cos⁻¹(1/x) = .