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6. Trigonometry

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  1. E6.1 Pythagoras’ theorem

    1. E6.1.1

      • Know and use Pythagoras’ theorem.

  2. E6.2 Right-angled triangles

    1. E6.2.1Know and use the sine, cosine and tangent ratios for acute angles in

      • Know and use the sine, cosine and tangent ratios for acute angles in calculations involving sides and angles of a right-angled triangle.

    2. E6.2.2Solve problems in two dimensions using Pythagoras’ theorem and

      • Solve problems in two dimensions using Pythagoras’ theorem and trigonometry.

    3. E6.2.3Know that the perpendicular distance from a point to a line is the

      • Know that the perpendicular distance from a point to a line is the shortest distance to the line.

    4. E6.2.4Carry out calculations involving angles of elevation and depression

      • Carry out calculations involving angles of elevation and depression. Angles will be given in degrees and answers should be written in degrees, with decimals correct to one decimal place. Knowledge of bearings may be required.

  3. E6.3 Exact trigonometric values

    1. E6.3.1

      • Know the exact values of: 1 sin x and cos x for x = 0°, 30°, 45°, 60° and 90°. 2 tan x for x = 0°, 30°, 45° and 60°.

  4. E6.4 Trigonometric functions

    1. E6.4.1Trigonometric graphs

      • Recognise, sketch and interpret y = sin x, y = cos x and y = tan x for 0° ≤ x ≤ 360°.

    2. E6.4.2Trigonometric equations

      • Solve equations involving sin x, cos x or tan x for 0° ≤ x ≤ 360°.

  5. E6.5 Non-right-angled triangles

    1. E6.5.1Use the sine and cosine rules in calculations involving lengths and

      • Use the sine and cosine rules in calculations involving lengths and angles for any triangle.

    2. E6.5.2Use the formula area of triangle = 2 1 ab sin C

      • Use the formula area of triangle = 2 1 ab sin C. Includes problems involving obtuse angles and the ambiguous case. The sine and cosine rules and the formula for area of a triangle are given in the List of formulas.

  6. E6.6 Pythagoras’ theorem and trigonometry

    1. E6.6.1

      • in 3D Carry out calculations and solve problems in three dimensions using Pythagoras’ theorem and trigonometry, including calculating the angle between a line and a plane.