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Trigonometry

Explore the fundamentals of measuring right-angled triangles, from identifying angles to calculating missing sides. Learn to find all angles and lengths using trigonometric ratios like sine, cosine, and tangent. Delve into practical problems, such as determining the height of objects or the triangle's dimensions. Understand how to interpret trigonometric functions for angles beyond 90°. This guide also covers the unit circle and special angles, enriching your geometry skills with problem-solving strategies and calculator techniques.

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Trigonometry

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  1. Trigonometry triangle measure

  2. 1. measuring right-angled triangles • What can be said about these triangles? Can you find all the missing angles and sides? 30° 1cm 3cm 30° 0.5cm 30° 5cm 2.5cm 30°

  3. B c A a b C

  4. which ratio? which sides/angles? • calculator use – sin or sin-1? • finding the length ‘on the bottom’ of the ratio • problem solving: where is the triangle?

  5. A practical problem • How high is ….

  6. Generalising trigonometric functions • How to interpret sin/cos/tan for angles greater than 90°? • unit circle app

  7. ‘special’ angles: 45°, 60°, 30° (π/4, π/3, π/6) 1 45° 1 60° 60°

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