Course review
Review each learning objective in this topic, then open its concept explanation or question set.
Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Apply right and non-right triangle trigonometry, including Pythagoras' theorem. • Use angles of elevation/depression and bearings; construct labelled diagrams from text.
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Learning objective
• Use radians for angles. • Find arc length and sector area; express radians exactly with pi or as decimals.
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Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• 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.
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Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.