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Sudut istimewa trigonometri

  \(0^o\) \(30^o\) \(45^o\) \(60^o\) \(90^o\) sin 0 \(\frac{1}{2}\) \(\frac{1}{2}\sqrt{2}\) \(\frac{1}{2}\sqrt{3}\) 1 cos 1 \(\frac{1}{2}\sqrt{3}\) \(\frac{1}{2}\sqrt{2}\) \(\frac{1}{2}\) 0 tan 0 \(\frac{1}{3}\sqrt{3}\) 1 \(\sqrt{3}\) \(\infty\)  

Integral trigonometri

\(\int \sec ^2 x dx = \tan x + c\\ \int cosec ^2 x dx = \cot x + c\\ \int \sec x \tan x dx = \sec x + c\\ \int cosec \cot x dx = -cosec x + c\\ \int \tan x dx = ln|\sec x| + c\\ \int \cot x dx = -ln |cosec x| + c\\ \int \sec x dx = ln |\sec x tan x| + c\\ \int cosec x dx = -ln |cosec x + cot x| + c\\ \)

Turunan trigonometri

\(f(x)=\tan x \quad maka \quad f’(x)=\sec ^2 x\\ f(x)=\cot x \quad maka \quad f’(x)= -cosec ^2 x\\ f(x)=\sec x \quad maka \quad f’(x)=\sec x \tan x\\ f(x)=cosec x \quad maka \quad f’(x)= -cosec x \cot x\\ \)

Limit trigonometri

\(\lim{x\to0}\frac{\sin ax}{ax}=\lim{x\to0}\frac{\tan ax}{ax}=\lim{x\to0}\frac{ax}{\sin ax}= \lim{x\to0}\frac{ax}{\tan ax}=1\\ \lim{x\to0}\frac{\sin ax}{bx}=\lim{x\to0}\frac{\tan ax}{bx}=\lim{x\to0}\frac{ax}{\sin bx}= \lim{x\to0}\frac{ax}{\tan bx}=\frac{a}{b} \)

Persamaan trigonometri

\(Jika \quad \cos x= \cos A \quad maka\\ x_{1,2} = \pm A + k.360^o\\ Jika \quad \tan x= \tan A \quad maka\\ x = A + 180^o\\\) Catatan, Jika terdapat persamaan cos x = sin A, cot x = tan A, sec x = cosec A atau sebaliknya, maka salah satu diubah menjadi (90 – A)o Misalnya, cos x = sin A menjadi cos x = cos (90 – A)o