Trigonometric Equations

ME-T3 is worth about 6 marks out of 100 in recent HSC Mathematics Extension 1 papers. Practise 8 exam-style questions (multi-part, multiple choice, numerical answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

Which gives the general solution of $tan x = 1$ ?

A $x = \frac{π}{4} + nπ$ , $n \in Z$
B $x = \frac{π}{4} + 2 nπ$
C $x = \pm \frac{π}{4} + 2 nπ$
D $x = nπ + (- 1)^{n} \frac{π}{4}$

Example 2 · 3 marks · multi-part

Express $3 sin x + 4 cos x$ in the form $R sin (x + α)$ , where $R > 0$ and $0 < α < \frac{π}{2}$ .

Example 3 · 3 marks · multi-part

Solve $cos 2 x + cos x = 0$ for $0 \leq x \leq 2 π$ .

Answers and worked solutions appear when you practise these questions.

Trigonometric Equations

Example questions

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