IB Maths AA SL AA 3.3 Trigonometric identities and equations questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper
Paper 1, no calculatorPaper 2, calculator
Difficulty
EasyMediumHard

Question 1

Paper 1, no calculatorEasy4 marks

A point moves around a circle of radius 1. Its position is described by an angle xx measured from the positive horizontal axis, where 0≤x≤2π0\leq x\leq 2\pi

At one measurement, the point’s vertical coordinate is 12\frac12 At another measurement, its horizontal coordinate is −32-\frac{\sqrt3}{2}

(a)

Determine all possible values of xx for the first measurement.

[2]
(b)

Determine all possible values of xx for the second measurement.

[2]