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

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Course content

78 lessons

9.1 · Circular measure

0/9

1.4, 10.1-10.3 · Trigonometry: functions and graphs

0/12

10.4-10.6 · Trigonometry: equations and identities

0/13

11.1-11.3 · Permutations and combinations

0/12

12.1-12.2 · Series: the binomial theorem

0/8

12.3-12.5 · Series: arithmetic and geometric progressions

0/9

13.1-13.4 · Vectors in two dimensions

0/15

Vector notation

Preview10m

The magnitude of a vector

Preview10m

Adding and subtracting vectors

11m

Multiplying a vector by a scalar

10m

Position vectors

11m

Unit vectors

10m

Equating like vectors

11m

Vector geometry

13m

Composing velocities

12m

Resolving velocities

11m

Constant velocity problems: position after time t

12m

Constant velocity problems: collisions

13m

Vectors in two dimensions: practice

Vectors in two dimensions: exam practice

15m

Vectors in two dimensions: summary

13.1-13.4 · Vectors in two dimensionsLesson 10 of 15

Resolving velocities

Velocity = speed × unit vector in the direction of travel. A speed at an angle splits into i and j parts.

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