What you’ll learn8 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—SL 3.1—Three-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.Syllabus objective—SL 3.2—Triangle 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.Syllabus objective—SL 3.3—Applications of trigonometry• Apply right and non-right triangle trigonometry, including Pythagoras' theorem.• Use angles of elevation/depression and bearings; construct labelled diagrams from text.Syllabus objective—SL 3.4—Radian measure• Use radians for angles.• Find arc length and sector area; express radians exactly with pi or as decimals.Syllabus objective—SL 3.5—Unit 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.Syllabus objective—SL 3.6—Trigonometric 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.Syllabus objective—SL 3.7—Trigonometric 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.Syllabus objective—SL 3.8—Trigonometric 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.Syllabus objective