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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 labeled with vertices A, B, and C is shown. The angle at vertex A is labeled $\alpha$α. The angle at vertex B is labeled $\theta$θ. The angle at vertex C is a right angle as indicated by a small square. Opposite vertex C is side AB, which is the hypotenuse. Side BC is adjacent to angle $\theta$θ. Side BC is opposite angle $\alpha$α. Side AC is adjacent to angle $\alpha$α. Side AC is opposite angle $\theta$θ.
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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