Inverse Trigonometric Functions

Definition, range, domain, principal value branch and elementary properties.

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Q1 · Inverse Trigonometric Functions · EASY
What is the principal value of arcsin(1/2)?
Q2 · Inverse Trigonometric Functions · MEDIUM
The domain of the function f(x) = arccos(2x - 1) is:
Q3 · Inverse Trigonometric Functions · MEDIUM
If arctan(x) + arctan(y) = π/4, where x and y are positive, then which of the following relations holds?
Q4 · Inverse Trigonometric Functions · HARD
Simplify: arcsin(sin(5π/6))
Q5 · Inverse Trigonometric Functions · HARD
Find the principal value of sin⁻¹(√3/2).