A Maths Tuition: Trigonometry Formulas

Many students find Trigonometry in A Maths challenging.

This is a list of Trigonometry Formulas that I compiled for A Maths. Students in my A Maths tuition class will get a copy of this, neatly formatted into one A4 size page for easy viewing.

A Maths: Trigonometry Formulas

\mathit{cosec}x=\frac{1}{\sin x}\mathit{sec}x=\frac{1}{\cos x}

\cot x=\frac{1}{\tan x}\tan x=\frac{\sin x}{\cos x}

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

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

\frac{d}{\mathit{dx}}(\tan x)=\mathit{sec}^{2}x

\int {\sin x\mathit{dx}}=-\cos x+c

\int \cos x\mathit{dx}=\sin x+c

\int \mathit{sec}^{2}x\mathit{dx}=\tan x+c

Special Angles:

\cos 45^\circ=\frac{1}{\sqrt{2}}

\cos 60^\circ=\frac{1}{2}

\cos 30^\circ=\frac{\sqrt{3}}{2}

\sin 45^\circ=\frac{1}{\sqrt{2}}

\sin 60^\circ=\frac{\sqrt{3}}{2}

\sin 30^\circ=\frac{1}{2}

\tan 45^\circ=1

\tan 60^\circ=\sqrt{3}

\tan 30^\circ=\frac{1}{\sqrt{3}}

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y=a\sin (\mathit{bx})+c Amplitude: a; Period: \frac{2\pi }{b}

y=a\cos (\mathit{bx})+c Amplitude: a; Period: \frac{2\pi }{b}

y=a\tan (\mathit{bx})+c Period: \frac{\pi }{b}

\pi \mathit{rad}=180^\circ

Area of  \triangle \mathit{ABC}=\frac{1}{2}\mathit{ab}\sin C

Sine Rule:  \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

Cosine Rule:  c^{2}=a^{2}+b^{2}-2\mathit{ab}\cos C