Rumus-Rumus Dasar Trigonometri

$\cos (\alpha + \beta) = \cos \alpha \cos \beta- \sin \alpha \sin \beta$

$\cos (\alpha- \beta) = \cos \alpha \cos \beta + \sin \alpha \sin \beta$

$\sin (\alpha + \beta) = \sin \alpha \cos \beta + \cos \alpha \sin \beta$

$\sin (\alpha + \beta) = \sin \alpha \cos \beta- \cos \alpha \sin \beta$

$\tan (\alpha + \beta) = \dfrac{\tan \alpha + \tan \beta}{1- \tan \alpha \cdot \tan \beta}$

$\tan (\alpha- \beta) = \dfrac{\tan \alpha- \tan \beta}{1+\tan \alpha \cdot \tan \beta}$

$\sin 2\alpha = 2 \sin \alpha \cos \alpha$

$\cos 2\alpha = \cos^2 \alpha- \sin^2 \alpha$

$\cos 2\alpha = 1- 2 \sin^2 \alpha$

$\cos 2\alpha = 2\cos^2 \alpha- 1$

$\tan 2\alpha = \dfrac{2\tan \alpha}{1- \tan^2 \alpha}$

$1 + \tan^2 \alpha = \sec^2 \alpha$

$1 + \cot^2 \alpha = \csc^2 \alpha$

$\sin^2 \alpha = \dfrac{1}{2} (1- \cos 2 \alpha)$

$\cos^2 \alpha = \dfrac{1}{2} (1 + \cos 2\alpha)$

$\sin \square = \pm \sqrt{\dfrac{1}{2}(1-\cos 2\square)}$

$\sin \dfrac{1}{2} \square = \pm \sqrt{\dfrac{1}{2}(1-\cos \square)}$

$\cos \square = \pm \sqrt{\dfrac{1}{2}(1+\cos 2\square)}$

$\cos \dfrac{1}{2} \square = \pm \sqrt{\dfrac{1}{2}(1+\cos \square)}$

$2 \sin \alpha \cos \beta = \sin (\alpha + \beta) + \sin (\alpha- \beta)$

$2 \cos \alpha \sin \beta = \sin (\alpha + \beta)- \sin (\alpha- \beta)$

$2 \cos \alpha \cos \beta = \cos (\alpha + \beta) + \cos (\alpha- \beta)$

$2 \sin \alpha \sin \beta = -[\cos (\alpha + \beta)- \cos (\alpha- \beta)]$

$\sin \alpha + \sin \beta = 2 \sin \dfrac{1}{2} (\alpha + \beta) \cos \dfrac{1}{2} (\alpha- \beta)$

$\sin \alpha- \sin \beta = 2 \cos \dfrac{1}{2} (\alpha + \beta) \sin \dfrac{1}{2} (\alpha- \beta)$

$\cos \alpha + \cos \beta = 2 \cos \dfrac{1}{2} (\alpha + \beta) \cos \dfrac{1}{2} (\alpha- \beta)$

$\cos \alpha- \cos \beta = -2 \sin \dfrac{1}{2} (\alpha + \beta) \sin \dfrac{1}{2} (\alpha- \beta)$

3 comments on “Rumus-Rumus Dasar Trigonometri”

	Thoriq pada Kumpulan Soal Test Matematika…
	Micheal Jay pada Les Privat Matematika
	Raditya Putra pada Daerah Integral
	Hafizah Auladina pada Pembahasan TPA USM STAN 2015…
	Budi Sugiarto pada Metode Newton-Raphson (Newton-…
	PRP pada Pembuktian Rumus Trigonometri…
	PRP pada Pembuktian Rumus Trigonometri…
	olis mukhlisoh pada Metode Bagi-Dua (Bisection…
	Nurul pada Pembuktian Integral sec x dx =…
	Silas pada Garis Singgung Persekutuan Dal…