Topics
Trigonometry
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New Zealand
Level 6 - NCEA Level 1

Trigonometric Ratios

Lesson
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 $\tan\theta$tanθ.

Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min
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Outcomes

GM6-6

Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions

91031

Apply geometric reasoning in solving problems

91032

Apply right-angled triangles in solving measurement problems

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