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These are the statements describing what students need to learn:

- understand and use the definitions of sine, cosine and tangent for all arguments; the sine and cosine rules; the area of a triangle in the form ½
*ab*sin(C); Work with radian measure, including use for arc length and area of sector - understand and use the standard small angle approximations of sine, cosine and tangent

sinθ ≈ θ,

cosθ ≈ 1 - ½θ^{2}

tanθ ≈ θ,

Where θ is in radians - understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity. Know and use exact values of sin, cos and tan for the following angles (in degrees and radians) 0°, 30°, 45°, 60°, 90°, 180° and multiples thereof
- understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; their relationships to sine, cosine and tangent; understanding of their graphs; their ranges and domains
- understand and use

tanθ = sinθ ÷ cosθ

sin^{2}θ + cos^{2}θ = 1

sec^{2}θ = 1 + tan^{2}θ and

cosec^{2}θ = 1 + cot^{2}θ - understand and use double angle formulae; use of formulae for sin (A ± B), cos (A ± B), and tan (A ± B);

understand geometrical proofs of these formulae;

understand and use expressions for a cosθ + b sinθ in the equivalent forms of r cos (θ ± α) or r sin (θ ± α) - solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle
- construct proofs involving trigonometric functions and identities
- use trigonometric functions to solve problems in context, including problems involving vectors, kinematics and forces

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