Ringkasan

Ringkasan

Ringkasan

 

PENJUMLAHAN SUDUT

No Rumus
1

\(\sin (A + B) = \sin A \cos B + \cos A \sin B \)

\(\sin (A - B) = \sin A \cos B - \cos A \sin B \)

2

\(\cos (A + B) = \cos A \cos B - \sin A \sin B \)

\(\cos (A - B) = \cos A \cos B + \sin A \sin B \)

3

\(\tan (A + B) = \dfrac{\tan A + \tan B}{1 - \tan A \tan B} \)

 

\(\tan (A - B) = \dfrac{\tan A - \tan B}{1 + \tan A \tan B} \)

 

 

SUDUT RANGKAP

No Rumus
1

\(\sin 2x = 2 \sin x \cos x  \)

2

\(\cos 2x = \cos^2 x - \sin^2 x \)

\(\cos 2x = 2\cos^2 x - 1 \)

\(\cos 2x = 1 - 2\sin^2 x \)

3

\(\tan 2x = \dfrac{2 \tan x}{1 - \tan^2 x} \)

 

 

SUDUT TRIPLE

No Rumus
1

\(\sin 3x = 3 \sin x - 4 \sin^3 x  \)

2

\(\cos 3x = 4\cos^3 x - 3 \cos x \)

3

\(\tan 3x = \dfrac{3 \tan x - \tan^3 x}{1 - 3 \tan^2 x}\)

 

 

BENTUK KUADRAT

No Rumus
1

\(\cos^2 x = \frac{1}{2} + \frac{1}{2} \cos 2x \)

2

\(\sin^2 x = \frac{1}{2} - \frac{1}{2} \cos 2x \)

 

 

PENJUMLAHAN FUNGSI

No Rumus
1

\(\sin A + \sin B = 2 \sin \frac{1}{2} (A + B) \cos \frac{1}{2} (A - B)\)

2

\(\sin A - \sin B = 2 \cos \frac{1}{2} (A + B) \sin \frac{1}{2} (A - B)\)

3

\(\cos A + \cos B = 2 \cos \frac{1}{2} (A + B) \cos \frac{1}{2} (A - B)\)

4

\(\cos A - \cos B = -2 \sin \frac{1}{2} (A + B) \sin \frac{1}{2} (A - B)\)

 

 

PERKALIAN FUNGSI

No Rumus
1

\(2 \sin A \cos B = \sin (A + B) + \sin (A - B) \)

2

\(2 \cos A \sin B = \sin (A + B) - \sin (A - B) \)

3

\(2 \cos A \cos B = \cos (A + B) + \cos (A - B) \)

4

\(-2 \sin A \sin B = \cos (A + B) - \cos (A - B) \)


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