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New Zealand
Level 7 - NCEA Level 2

The Trigonometric Ratios

Interactive practice questions

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

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 $\tan\theta$tanθ.

Easy
< 1min

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

Easy
< 1min

Consider the following figure.

Easy
3min
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Outcomes

M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

91259

Apply trigonometric relationships in solving problems

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