O Level Additional Mathematics: Trigonometry, Series and Vectors (4037)

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Course content

78 lessons

9.1 · Circular measure

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1.4, 10.1-10.3 · Trigonometry: functions and graphs

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10.4-10.6 · Trigonometry: equations and identities

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Trigonometric equations

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Equations with secant, cosecant and cotangent

Preview10m

Equations with multiple angles

12m

Equations with compound angles, such as 2x − π/3

12m

Trigonometric identities: tan A = sin A / cos A and sin²A + cos²A = 1

11m

Trigonometric identities: sec²A = 1 + tan²A and cosec²A = 1 + cot²A

10m

Further trigonometric equations: quadratics in one function

12m

Further trigonometric equations: using identities

13m

Proving trigonometric identities

12m

Further trigonometric identities

13m

Trigonometric equations and identities: practice

Trigonometric equations and identities: exam practice

15m

Trigonometric equations and identities: summary

11.1-11.3 · Permutations and combinations

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12.1-12.2 · Series: the binomial theorem

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12.3-12.5 · Series: arithmetic and geometric progressions

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13.1-13.4 · Vectors in two dimensions

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10.4-10.6 · Trigonometry: equations and identitiesLesson 10 of 13

Further trigonometric identities

Add fractions over a common denominator, then look for 1 − cos²A or sin²A + cos²A.

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