Trigonometric Functions and Identities

MA-T2 is worth about 1 marks out of 100 in recent HSC Mathematics Advanced papers. Practise 11 exam-style questions (multiple choice, multi-part, algebraic answer, 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 expression is equal to $\frac{1 - cos ^{2} θ}{sin θ}$ (for $sin θ \neq = 0$ )?

A $1$
B $tan θ$
C $sin θ$
D $cos θ$

Example 2 · 1 mark · multiple choice

$θ$ is acute and $cos θ = \frac{3}{5}$ . What is $tan θ$ ?

A $\frac{3}{4}$
B $\frac{4}{5}$
C $\frac{4}{3}$
D $\frac{5}{3}$

Example 3 · 1 mark · multiple choice

$sin θ = - \frac{1}{2}$ and $π < θ < \frac{3 π}{2}$ . What is $cos θ$ ?

A $- \frac{3}{2}$
B $- \frac{1}{2}$
C $\frac{1}{2}$
D $\frac{3}{2}$

Answers and worked solutions appear when you practise these questions.

Trigonometric Functions and Identities

Example questions

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