02 identitas-trigonometri-6
TRANSCRIPT
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A. Identitas Trigonometri
Materi A
Soal LKS Kelas X, Semester 2
PERSAMAAN TRIGONOMETRI
Program Peminatan IPA
Peta Konsep
Jurnal
Daftar Hadir
Soal Latihan 1
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Peta Konsep Menu
Ukuran Sudut
Identitas
Trigonometri
Perbandingan
trigonometri
Persamaan
trigonometri
Melukis Grafik
fumgsi trigonometri
Fungsi
Trigonometri
Sudut Istimewa
Aturan sinus
dan kosinus Luas Segitiga
Fungsi
sinus
Fungsi
cosinus
Fungsi
tangens
Perbandingan dan
Fungsi Trigonometri
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A. Identitas Trigonometri
Identitas trigonometri adalah bentuk persamaan
trigonometri yang menghubungkan suatu
perbandingan trigonometri dengan perbandingan
trigonometri yang lainnya
ruas kiri = ruas kanan
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Rumus identitas dasar trigonometri
cos
1sec α =
csc α = sin
1
tan α =
cos
sin
cot α =
sin
cos
cot α = tan
1
cos2α + sin2α = 1
1 + tan2α = sec2α
cot 2α + 1 = csc2α
cos2α = 1 – sin2α
sin2α = 1 – cos2α
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Jawab
01. Buktikanlah bahwa 3 + 5sin2α = 8 – 5cos2α
LKS ke-1 – Nomor 1
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Jawab
02. Buktikanlah bahwa sec2α – sin2α.sec2α = 1
LKS ke-1 – Nomor 2
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Jawab
03. Buktikanlah bahwa
sin1
cos
cos
sin1=
LKS ke-1 – Nomor 3
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Jawab
04. Buktikanlah bahwa :
tanα – cotα =
cos.sin
cos21 2
LKS ke-1 – Nomor 4
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Jawab
05. Buktikanlah bahwa :
=
22 sincos
cos.sin
2tan1
tan
LKS ke-1 – Nomor 5
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Jawab
06. Buktikanlah bahwa :
= 1tan
1tan
cscsec
cscsec
LKS ke-1 – Nomor 6
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Soal Latihan 1
Nomor 1
Nomor 2
Nomor 3
Nomor 4
Nomor 5
Nomor 6
Nomor 7
Nomor 8
Menu
Nomor 9
Nomor 10
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Soal ke-1
Menu
A. 2 – 5.sin2x B. 3 + 5.sin2x
5.cos2x – 4 = ….
C. 5 – 2.sin2x D. 1 – 5.sin2x
E. 1 + 5.sin2x
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Soal ke-2
Menu
A. 1 – 2.sin2x B. 3.cos2x + sin x
cos2x (1 – tan2x ) = ….
C. 2.cos2x – 3 D. tan2x – 1
E. tan x – sin2x
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Soal ke-3
Menu
A. sin2x B. cos2x
= ………. xtan1
12
C. 1 – tan2x D. sin2x – 2
E. sin2x – cos2x
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Soal ke-4
Menu
A. sin x + cos x B. sin2x
C. sin x + 1 D. cos x + 1
E. 1 – sin2x
= ………. xcos1
xsin2
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Soal ke-5
Menu
A. 2.csc x B. sec2x + 3
C. tan2x – 3 D. sin2x + 2.cos x
E. 3.sec x
+ = ………. sin x
xcos1
xcos1
sin x
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Soal ke-6
Menu
A. cos A B. sin A
C. tan A D. sin2A
E. –sin A
1 – = ………. Asin1
Acos2
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Soal ke-7
Menu
A. 2.sinA B. sin2A
C. 2.tanA D. tan2A
E. cot2A
– = ………. Asin1
A cos
Asin1
A cos
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Soal ke-8
Menu
E. 0
sin x + cos x. ctg x =
A. B. xcos1
xsin1
C. D. 1 xtan
1
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Soal ke-9
Menu
A. sin x B. 2.cos x
C. 2 D. sin x – 1
E. tan x
– = ………. xsectan x
xcos
xsectan x
xcos
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Soal ke-10
Menu
A. sec A – cot A B. sec A – tan A
C. csc A – tan A D. csc A – cot A
E. sec A + tan A
Bentuk senilai dengan …. Acos1
Asin
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