4. Trigonometric Ratios

4.01 Review of trigonometry for right-angled triangles

4.02 Angles of inclination

4.03 The sine rule

4.04 The cosine rule

4.05 Further problem solving with trigonometry

4.06 Area of a non-right-angled triangle

Year 11

4.01 Review of trigonometry for right-angled triangles

Interactive practice questions

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

A right triangle labeled with vertices A, B, and C. The right angle is located at vertex C as indicated by the small square. Side AB is opposite vertex C, and is the hypotenuse. Each of the non-right angles is marked with a small arc near the vertex. The triangle has two angles labeled: angle $\alpha$α at vertex A and angle $\theta$θ at vertex B. Side BC is adjacent to angle $\theta$θ. Side AC is opposite angle $\theta$θ.

Easy

1min

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

Easy

< 1min

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

Easy

< 1min

Outcomes

ACMMM028

review sine, cosine and tangent as ratios of side lengths in right-angled triangles

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