Topics
11. Applications of Trigonometry
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AustraliaVIC
VCE 11 General 2023

11.02 Trigonometry ratios

Lesson
Worksheet
Practice

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 of the sides represented by $\tan\theta$tanθ.

Easy
< 1min

Evaluate $\sin\theta$sinθ within $\triangle ABC$△ABC.

Easy
< 1min
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Outcomes

U2.AoS4.2

Pythagoras’ theorem and the trigonometric ratios (sine, cosine and tangent) and their application including angles of elevation and depression and three figure bearings

U2.AoS4.9

solve practical problems involving right-angled triangles in the dimensions including the use of angles of elevation and depression, Pythagoras’ theorem trigonometric ratios sine, cosine and tangent and the use of three-figure (true) bearings in navigation

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