Inverse trigonometric functionsEdexcel International A Level Maths: Mind map

Exam questions on Inverse trigonometric functions

1. The inverse trigonometric functions $\arcsin$, $\arccos$ and $\arctan$ are defined by their principal values, with angles in radians.
   Find the exact value of $\arctan\left(-\sqrt3\right)+\arctan(1)$.2 marks
2. Let $\alpha=\arcsin\left(\frac{4}{5}\right)$, where $\alpha$ is measured in degrees.
   Find $\arcsin(\sin150^{\circ})$ and explain why it is not $150^{\circ}$.2 marks
3. Angles are measured in radians and a calculator may be used.
   Solve $\tan x=-3$ for $-\pi<x<\pi$, giving your answers to 3 significant figures.3 marks