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Trigonometry · SS1

Trigonometric ratios

Sine, cosine and tangent in right-angled triangles, and finding missing sides and angles.

Before this
Angles, triangles & polygons
Leads to
Longitude & latitudeElevation, depression & bearingsSine & cosine rulesTrigonometric graphsTrigonometry

Learn

  1. 1Sine, cosine and tangentName the sides from the angle, pick the right ratio, and use it to find a missing side or angle in a right-angled triangle.Done15 min
  2. 2Exact values for 30°, 45° and 60°Get the sine, cosine and tangent of 30°, 45° and 60° from two triangles you can always redraw, and use sin θ = cos (90° − θ).Done12 min
  3. 3Sine and cosine beyond 90°What sin θ and cos θ mean for angles up to 360°, which are positive in each quadrant, and how to use the reference angle.Done12 min

Practise

Answer trigonometric ratios questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (117)

From 1983–2025: 68 WAEC, 9 NECO, 40 JAMB. Theory questions first, then objective, newest first.

Theory (51)

Objective (66)