6. Trigonometry
- Syllabus
- 0580–2028–2029
- Section
- 6
- Level
- Extended
Exam analysis
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Recent 5 years
In this section
Topic E6.1
E6.1 Pythagoras’ theorem
Objectives in this topic
E6.1.1 Know and use Pythagoras’ theorem.
- Know and use Pythagoras’ theorem.
Topic E6.2
E6.2 Right-angled triangles
Objectives in this topic
E6.2.1 Know 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.
E6.2.2 Solve problems in two dimensions using Pythagoras’ theorem and
- Solve problems in two dimensions using Pythagoras’ theorem and trigonometry.
E6.2.3 Know 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.
E6.2.4 Carry 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.
Topic E6.3
E6.3 Exact trigonometric values
Objectives in this topic
E6.3.1 Know the exact values of: 1 sin x and cos x for x = 0°, 30°, 45°, 60°
- 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°.
Topic E6.4
E6.4 Trigonometric functions
Objectives in this topic
E6.4.1 Trigonometric graphs
- Recognise, sketch and interpret y = sin x, y = cos x and y = tan x for 0° ≤ x ≤ 360°.
E6.4.2 Trigonometric equations
- Solve equations involving sin x, cos x or tan x for 0° ≤ x ≤ 360°.
Topic E6.5
E6.5 Non-right-angled triangles
Objectives in this topic
E6.5.1 Use 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.
E6.5.2 Use 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.
Topic E6.6
E6.6 Pythagoras’ theorem and trigonometry
Objectives in this topic
E6.6.1 in 3D Carry out calculations and solve problems in three dimensions
- 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.