Topics
4. Trigonometry
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AustraliaNSW
Year 11

4.01 Trigonometric ratios

Lesson
Worksheet
Practice

Interactive practice questions

Write down the ratio represented by $\tan\theta$tanθ.

A right-angled triangle labeled with vertices A, B, and C is shown. The angle at vertex A is labeled $\alpha$α. The angle at vertex B is labeled $\theta$θ. The angle at vertex C is a right angle as indicated by a small square. Side AB is the hypotenuse. Side AC is opposite angle $\theta$θ. Side BC is adjacent to angle $\theta$θ. Side AC is adjacent to angle $\alpha$α. Side BC is opposite angle $\alpha$α. 
Easy
< 1min

Write down the ratio represented by $\sin\theta$sinθ.

Easy
< 1min

Write down the ratio represented by $\cos\theta$cosθ.

Easy
< 1min

Evaluate $\tan\theta$tanθ within $\triangle ABC$△ABC. Express your answer as a simplified fraction.

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-3

uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

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