Rumus Dasar Trigonometri

  • May 2020
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2 sin α cos β = sin ( α + β ) + sin ( α − β ) 2 cos α sin β = sin ( α + β ) − sin ( α − β ) 2 cos α cos β = cos( α + β ) + cos( α − β ) 2 sin α sin β = cos( α + β ) − cos( α − β )

• Rumus Dasar Trigonometri 1 1 atau sin α = sin α cos sec α 1 1 = atau cos α = cos α sec α 1 1 = atau tan α = tan α cot α

cos sec α = sec α cot α

sin α cos α cos α cot α = sin α 2 sin α + cos 2 α = 1 tan α =

1 + tan 2 α = sec 2 α 1 + cot 2 α = cos sec 2 α

• Rumus jumlah dan selisih sudut sin ( α ± β ) = sin α cos β ± cos α sin β cos( α ± β ) = cos α cos β sin α sin β tan α ± tan β tan ( α ± β ) = 1 tan α . tan β

• Rumus-rumus sudut rangkap sin 2α = 2 sin α cos α cos 2α = cos 2 α − sin 2 α cos 2α = 2 cos 2 α − 1 cos 2α = 1 − 2 sin 2 α 2 tan α tan 2α = 1 − tan 2 α •

Rumus perkalian sinus dan cosinus



Rumus penjumlahan dan pengurangan sinus dan cosinus 1 ( A + B ). cos 1 ( A − B ) 2 2 1 1 sin A − sin B = 2 cos ( A + B ). sin ( A − B ) 2 2 1 1 cos A + cos B = 2 cos ( A + B ). cos ( A − B ) 2 2 1 1 cos A − cos B = −2 sin ( A + B ). sin ( A − B ) 2 2 sin A + sin B = 2 sin

• Identitas (Rumus Pengembangan)

cot ( α ± β ) =

cot α . cot β 1 cot α ± cot β

cot 2 α − 1 2 cot α sin 3α = 3 sin α . cos 2 α − sin 3 α cot 2α =

= 3sinα - 4sin 3α cos 3α = 4 cos 3 α − 3 cos α 3 tan α − tan 3 α tan 3α = 1 − 3 tan 2 α 1 1 − cos α sin α = 2 2 1 1 + cos α cos α = 2 2 1 1 − cos α tan α = 2 1 + cos α sin α 1 − cos α = = 1 + cos α sin α

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