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IB Maths AA 3.9 Definitions

This page contains our IB Maths AA definitions for 3.9. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Compound angles'.

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Compound

Involving a combination of two angles (such as a sum or difference) inside a single trigonometric function, for example tanθ\tan\theta where θ=A+B\theta=A\text{+}B or θ=A-B\theta=A\text{-}B.

cosine

A trigonometric function whose derivative is ddx(cosx)=sinx\frac{d}{dx}(\cos x)=-\sin x.

sine

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

tangent

A line that touches a curve at a point and has the same local slope as the curve there, used to interpret the derivative at that point.

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