Rumus Trigonometri



PENJUMLAHAN DUA SUDUT (a + b)
1. sin(a + b) = sin a cos b + cos a sin b
2. cos(a + b) = cos a cos b - sin a sin b
3. tg(a + b ) = tg a + tg b : 1 - tg2a

SELISIH DUA SUDUT (a - b)
1. sin(a - b) = sin a cos b - cos a sin b
2. cos(a - b) = cos a cos b + sin a sin b
3. tg(a - b ) = tg a - tg b : 1 + tg2a

SUDUT RANGKAP
1. sin 2a = 2 sin a cos a
2. cos 2a = cos2a - sin2 a
= 2 cos2a - 1
= 1 - 2 sin2a
3. tg 2a = 2 tg 2a : 1 - tg2a
4. sin a cos a = ½ sin 2a
5. cos2a = ½(1 + cos 2a)
6. sin2a = ½ (1 - cos 2a)
Secara umum :
1. sin na = 2 sin ½na cos ½na
2. cos na = cos2 ½na - 1
= 2 cos2 ½na - 1
= 1 - 2 sin2 ½na
3. tg na = 2 tg ½na : 1 - tg2 ½na

BENTUK PERKALIAN & PENJUMLAHAN
2 sin a cos b = sin (a + b) + sin (a - b)
2 cos a sin b = sin (a + b) - sin (a - b)
2 cos a cos b = cos (a + b) + cos (a - b)
- 2 sin a cos b = cos (a + b) - sin (a - b)

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