Solving Equations & General Solutions — practice questions

Trigonometric Methods · Part 2 of 2

3 exam-style questions with model answers, plus 4 quick multi-choice questions — every question on this part of the standard, grouped by the 1 page of notes they come from.

Write a full answer before you reveal the model one. That comparison is where the learning happens.

Solving trigonometric equations

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AchievedShow

Solve $\tan\theta = 1$ for $0 \leq \theta \leq 2\pi$ , giving exact answers.

MeritShow

Solve $2\sin^2\theta + 3\cos\theta = 3$ for $0 \leq \theta \leq 2\pi$ .

ExcellenceShow

Find the general solution of $\sin 2\theta = \cos\theta$ , and explain why a general solution is more informative than a list of solutions in a fixed interval.

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