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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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