Chapter 3: Pythagoras and trigonometry Notes

Sections

1. 3A Pythagoras' theorem Mastered

   Finding the hypotenuse and shorter sides with Pythagoras' theorem, exact surd answers, and solving two-dimensional problems.

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2. 3B Pythagoras in three dimensions Mastered

   Finding diagonals and slant lengths in rectangular prisms, cubes, pyramids and cones by using Pythagoras' theorem twice.

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3. 3C The trigonometric ratios Mastered

   Labelling the hypotenuse, opposite and adjacent sides, defining sine, cosine and tangent, and writing ratios for a given angle.

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4. 3D Finding unknown sides Mastered

   Choosing the right trigonometric ratio and solving for an unknown side in the numerator or the denominator.

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5. 3E Finding unknown angles Mastered

   Using inverse sine, cosine and tangent to find an angle from two sides, rounding to the nearest degree or minute.

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6. 3F Elevation, depression and bearings Mastered

   Angles of elevation and depression, true bearings, and solving practical problems with trigonometry and Pythagoras.

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