IB Maths AI 3.3 Definitions

This page contains our IB Maths AI definitions for 3.3. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Applied trigonometry'.

All Topic 3 Sub-topics 3.1: Fundamentals Of Geometry 3.2: Introduction To Trigonometry 3.3: Applied Trigonometry 3.4: Circles 3.5: Perpendicular Bisectors 3.6: Voronoi Diagrams (HL)3.7: Unit circle (HL)3.8: Geometric transformations (HL)3.9: Vectors (HL)3.10: Vector lines (HL)3.11: Graph theory (HL)3.12: Adjacency matrices (HL)3.13: Algorithms & problems

bearing

A direction given as an angle measured clockwise from north, written using three figures (for example, east is

090^\circ

cosine

A trigonometric function whose derivative is

\frac{d}{dx}(\cos x)=-\sin x

depression

The angle measured downwards from a horizontal line to the line of sight to an object.

elevation

The angle measured upwards from a horizontal line to the line of sight to an object.

hypotenuse

The longest side in a right-angled triangle, opposite the

90^\circ

angle.

Reverse integration

Describes using the chain rule in reverse to integrate expressions matching the pattern '

g'(x)f\left(g(x)\right)

', giving '

F\left(g(x)\right)+C

' where '

F'(u)=f(u)

sine

A trigonometric ratio/function that can be expanded for compound angles using $\\sin\left(A\pm B\right)=\sin A\cos B\pm\cos A\sin B$ .

Next Up

You have completed the topic 3 definitions for IB Maths AI - continue with related resources below or explore the full IB Maths AI course from the IBO.

Explored IB Maths AI Definitions?

Get stuck into one of our other subjects!

Other subjects' Definitions

Biology

Chemistry

Physics

Maths AA

Join 85,000 students, across 130+ countries, in 500+ IB schools. That's half of the IB science graduates worldwide.

Start a 7d free trial