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AustraliaVIC
VCE 11 General 2023

11.02 Trigonometry ratios

Interactive practice questions

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

A right-angled triangle, $\triangle ABC$ABC, has its right angle, $\angle ACB$ACB, at vertex $C$C as indicated by a small blue square. The side $AB$AB, which is also the hypotenuse, is opposite the right angle $\angle ACB$ACB.

The angle at vertex $B$B, $\angle ABC$ABC, is marked with a double blue arc, and is labeled as $\theta$θ. The vertical side $AC$AC is opposite $\angle ABC=\theta$ABC=θ and the horizontal side $BC$BC is adjacent $\angle ABC=\theta$ABC=θ. The angle at vertex $A$A, $\angle BAC$BAC, is marked with a single blue arc and is labeled as $\alpha$α.
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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