QuestionQuestionConceptConceptDocumentDocument

3 Geometry and trigonometry

Start with Concept to understand a topic, then use Question Bank to check what you know.

1 topics · 8 learning objectives

Your progress

Sign in to see your mastery and mistakes.

  1. 3.1 Geometry and trigonometry - SL content

    1. SL 3.1Three-dimensional geometry

      • Use distance and midpoint in three-dimensional space. • Use volume and surface area of common 3D solids and combinations. • Identify right-angled triangles in 3D objects to find lengths and angles.

    2. SL 3.2Triangle trigonometry

      • Use sine, cosine and tangent in right-angled triangles. • Use sine rule, cosine rule and area formula 1/2 ab sin C. • Ambiguous sine-rule case is not included here.

    3. SL 3.3Applications of trigonometry

      • Apply right and non-right triangle trigonometry, including Pythagoras' theorem. • Use angles of elevation/depression and bearings; construct labelled diagrams from text.

    4. SL 3.4Radian measure

      • Use radians for angles. • Find arc length and sector area; express radians exactly with pi or as decimals.

    5. SL 3.5Unit circle and exact values

      • Define sin theta and cos theta using the unit circle; tan theta=sin theta/cos theta. • Use quadrant relationships and exact trig values for standard angles. • Include ambiguous sine-rule case.

    6. SL 3.6Trigonometric identities

      • Use cos^2 theta + sin^2 theta = 1. • Use double-angle identities for sine and cosine. • Use trig-ratio relationships without necessarily finding the angle.

    7. SL 3.7Trigonometric functions

      • Graph sin x, cos x and tan x with amplitude and periodicity. • Use transformations of a sin(b(x+c))+d in degrees or radians. • Apply to contexts such as tides and Ferris wheels.

    8. SL 3.8Trigonometric equations

      • Solve trigonometric equations on finite intervals graphically and analytically. • Include equations reducible to quadratics in sin x, cos x or tan x. • General trig solutions are not required.