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# Trigonometry

## on Nov 27, 2010

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## TrigonometryPresentation Transcript

• TRIGONOMETRI
• RANGKUMAN RUMUS
• Sin( a + b ) = sin a . c os b + c os a . S in b Si n( a - b ) = sin a . c os b – cos a . S in b Rumus jumlah dan selisih dua sudut Cos( a + b ) = cos a . c os b – sin a . Sin b Cos( a - b ) = cos a . c os b + sin a . Sin b
• tan(  +  ) = t an(  -  ) =
• Rumus S udut Rangkap Sin 2a = 2 sin a . Cos a Cos 2a = Cos 2a = Cos 2a = tan 2a = A B C
• Rumus S udut Setengahan sin a = tan a = cos a = A B C
• Rumus jumlah dan selisih sin dan cos
• Rumus perkalian sin dan cos 2 s in a . cos b = sin (a + b) + s in (a – b) 2 cos a . sin b = sin (a + b) – s in (a – b) 2 cos a . cos b = cos (a + b) + cos (a – b) – 2 sin a . sin b = cos (a + b) – cos (a – b)
• S + S S – S C + C C - C Menghafal Rumus 2 S C 2 C S 2 C C – 2 S S + –
• 1. Sin 75 o = …. Answer : sin75 0 = sin(45 0 + 30 0 ) = sin45 0 cos30 0 + cos45 0 sin30 0 = ½√2.½√3 + ½√2.½ = ¼√6 + ¼√2 = ¼√2(√ 3 + 1) Example : Remember : sin(  +  ) = sin  .cos  + cos  .sin 
• 2. Diketahui sin A = cos B = A dan B adalah sudut-sudut lancip sin(A – B) =…. Bahasan: sin(A – B)= sin A cos B – cos A sin B sin A = cosA = ? ? cos B = sin B = 7 25 24 A 3 5 4 B
• sin(A – B) = sin A cos B – cos A sin B = x - x = =
• Solve : cos  cos  + sin  sin  = cos (  -  ) = = =
• 1. tan 105 ° = …. Solve : tan105 ° = tan(60 ° + 45 ° )
• tan 105 ° = x = = = = -2 - √3
• SELAMAT BELAJAR