IB skill practice

Analyse inverse trigonometric equation restrictions

Use ranges and restrictions to solve inverse trigonometric equations.

Paper 1, Paper 2 5 marks Difficulty 4

Analyse inverse trigonometric equation restrictions - interval scan

Solve \(\sin x=sqrt(3)/2\) on \(0^\circ\le x\le360^\circ\). The principal inverse-sine angle is \(60^\circ\). Enter the second solution in degrees.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.