

RUMUS PERKALIAN DAN PENJUMLAHAN SINUS DAN COSINUS
Presentation
•
Mathematics
•
11th - 12th Grade
•
Medium
Uud Makhmudah
Used 4+ times
FREE Resource
7 Slides • 4 Questions
1
RUMUS PERKALIAN DAN PENJUMLAHAN SINUS DAN COSINUS

2
RUMUS PERKALIAN
a. 2 sin x cos y = sin (x+y) + sin (x-y)
b. 2 cos x sin y = sin (x+y) - sin (x-y)
c. 2 cos x cos y = cos (x+y) + cos (x-y)
d. -2 sin x sin y = cos (x+y) - cos (x-y)
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PEMBUKTIAN PERKALIAN
sin x cos ydan cos x sin y
dari rumus jumlah dan selisih sudut sinus
4
Bukti
Rumus perkalian
cos x cos yRumus perkalian
sin x sin y
5
RUMUS PENJUMLAHAN
sin x + sin y = 2 sin 21(x+y)cos 21(x−y)
sin x − sin y = 2 cos 21(x+y)sin 21(x−y)
cos x + cos y = 2 cos 21(x+y) cos 21(x−y)
cos x − cos y = −2 sin 21(x+y) sin 21 (x−y)
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PEMBUKTIAN RUMUS JUMLAH SINUS DAN COSINUS
RUMUS PERKALIAN, melakukan pemisalan
x+y = A dan x−y=B
mengeliminasi y atau x, seperti gambar berikut
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8
Open Ended
Tulis pembuktian rumus jumlah dan cosinus!
9
Multiple Choice
Nilai dari 8 cos 82,5o sin 37,5o = ... .
4(3+2)
4(3−2)
2(3+2)
2(3−2)
3−2
10
Multiple Choice
−2cos 5Acos7A memiliki bentuk lain ... .
−cos 6A−cos A
−cos6A+cos A
cos 12A−cos 2A
−cos 12A+cos 2A
−cos12A−cos 2A
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Multiple Choice
sin 105o+sin 15o= ... .
216
213
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416
412
RUMUS PERKALIAN DAN PENJUMLAHAN SINUS DAN COSINUS

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