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Topic 03Mathematics (Edexcel)

Trigonometry

Trigonometry — Edexcel International A-Level Mathematics (Unit 1 / Pure Mathematics 1 (P1)). Covers: Trigonometric Ratios and the Unit Circle; Sine and Cosine Rules; Trigonometric Identities and Equations.

Practice questions
1

Trigonometric Ratios and the Unit CircleSign up

understand and use the definitions of sine, cosine and tangent for any angle, using the unit circle to interpret signs of trigonometric ratios in each quadrant · know and use exact values of sin, cos and tan of 0°, 30°, 45°, 60°, 90° and related angles · be able to sketch the graphs of y = sin x, y = cos x and y = tan x and recognise their periodicity and symmetries

40 min
2

Sine and Cosine RulesSign up

be able to apply the sine rule and the cosine rule to solve problems involving triangles, including the ambiguous case of the sine rule · be able to use the formula area = 1/2 ab sin C to find the area of a triangle

40 min
3

Trigonometric Identities and EquationsSign up

understand and use the identities sin^2 θ + cos^2 θ = 1 and tan θ = sin θ / cos θ · be able to solve trigonometric equations of the form sin(kθ + α) = c, cos(kθ + α) = c and tan(kθ + α) = c within a given interval

40 min

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