IB Maths AA 3.3 Definitions

This page contains our IB Maths AA definitions for 3.3. By learning each one of these definitions, you will fully cover the content for IB Maths AA '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: Unit Circle 3.6: Trigonometric Identities 3.7: Trigonometric Graphs (HL)3.8: Advanced trigonometry (HL)3.9: Compound angles (HL)3.10: Vectors (HL)3.11: Lines (HL)3.12: Planes

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 $\\sin\left(A\pm B\right)=\sin A\cos B\pm\cos A\sin B$ .

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