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Satuan Ukuran Sudut
1. Berapakah satuan radian dari sudut 330˚….
a.
11
6
π d. 14 π
b.
13
6
π e. 11 π
c.
14
11
π
2. Berapakah satuan radian dari sudut 90˚…
a.
3
2
π d.
1
2
π
b. 1 π e. 2 π
c.
5
2
π
3. Berapakah satuan derajad dari
4
5
π …
a. 120˚ d. 114˚
b. 135˚ e. 124˚
c. 144˚
4. Berapakah satuan derajad dari
2
3
π...
a. 144˚ d. 124˚
b. 114˚ e. 135˚
c. 120˚
5. Nyatakan sudut 112˚54̍ 36̎ kedalam bentuk derajad decimal..
a. 92,71˚ d. 122,91˚
b. 112,91˚ e. 211,71˚
c. 213,65˚
Perbandingan Trigonometri Pada Segitiga Siku-siku
1. Diketahui segitiga ABC dengan panjang AB = 8 cm, AC = 6 cm dan BC = 10 cm.
Tentukan sin α , cos α, dan tan α secara berurutan
a.
3
5
,
4
5
,
3
4
d.
6
8
,
10
8
,
8
6
b.
8
10
,
6
10
,
6
8
e.
3
4
,
4
5
,
3
5
c.
5
4
,
3
4
,
4
5
2. Pada segitiga ABC diketahui sin B =
4
3
. Tentukan nilai cos B…
a.
4
5
d.
5
4
b.
6
8
e.
4
8
c.
10
4
3. Perhatikan segitiga dibawah.
B A
C
Diketahui sec α =
17
5
Tentukan nilai dari sin α , dan cot α
a.
15
8
d.
15
8
b.
17
15
e.
15
17
c.
8
17
4. Perhatikan gambar.
Jika sin β = 0,8 Tentukan : cos β dan cot β secara berurutan
a.
3
4
,
3
5
d.
5
4
,
3
5
b.
3
5
,
3
4
e.
5
3
,
5
4
c.
5
3
,
4
3
5. Jika tan α = √3 dan α sudut lancip, tentukan nilai dari sin2 α + cos2 α..
a.
1
4
d.
3
4
b. 1 e.
3
2
c. 4
Perbandingan Trigonometri di Berbagai Kuadran
1. Diketahui titik A(-6,8) dan sudut XOA = α. Tentukan nilai sin α, cos α, dan tan α.
8 cm y
……..…
α
6 cm x
a.
3
5
,
7
3
, −
5
4
d. −
1
3
,
7
5
, 1
3
2
b. 1
5
3
,
1
4
, 2
5
4
e. −
3
5
,
5
4
,
7
3
c.
4
5
, −
3
5
, −
4
3
2. Tentukan nilai trigonometri dari sin 300˚..
a. −
1
3
d.
1
4
b.
1
2
e. −
1
2
c.
1
3
3.
Identitas Trigonometri
1. Pada identitas trigonometri (sin α– cos α)2 =
a. Tan2 α –sin2 α
b. 1-2 sin α cos α
c.
1−2 cos 𝜃
sinθ𝑐𝑜𝑠𝜃
d. Sec x
e. Sin4α - sin2 α
2. Pada identitas trigonometri (cos α + sin α)2 – (cos α– sin α)2 =
a. Sin α + cos2α
b. 2-4 cosα sinα
c. Sin α
d. Cos2 α– sin2α
e. 4 sin α cosα
3. Pada identitas trigonometri (tan α+ cotα) cos2 α =
a. Cot α
b. 2 sin2 α
c. Tan2α– cos4α
d. Cos2 α + cot α
e. Tan α – sin2α
4. Pada identitas trigonometri cos4 α – cos2 α =
a. Sin4 α
b. Tan2 α – cos2 α
c. Cot α
d. Sin4 α – sin2 α
e. 1-2 cos α sin α
5. Pada identitas trigonometri tan x sin x + cos x =
a. Tan α – cos2 α
b. 2 sin2 α
c. Sec x
d. Cos α + sec2 α
e. Cot4 α – sec α
Aturan Sinus atau Kosinus
1.
2.
3.
4.
5.
Aturan Sinus dan Kosinus
1.
2.
3.
4.
5.
Luas Segitiga
1. Perhatikan gambar dibawah:
C
A B
Bila setiap sisi memiliki panjang yang sama yaitu 12 cm. tentukan luas segitiga
berikut.
a. 36√3 cm2 d. 36√4 cm2
b. 37 cm2 e. 35 cm2
c. 36,3 cm2
2. Perhatikan gambar berikut:
C
A B
Bila, panjang AC = 12 cm, panjang AB = 30 cm, dan sudut A = 53˚. Tentukan luas
segitiga berikut.
a. 127 cm2 d. 97 cm2
b. 144 cm2 e. 72 cm2
c. 239 cm2
3. Perhatikan segitiga PQR berikut.
R
Q
P
Bila panjang PR = 6 cm, panjang PQ = 10 cm, dan luas segitiga PQR = 24 cm2.
Tentukan nilai sin x pada sudut P.
a. 0,8 d. 0,98
b. 1,2 e. 1,533
c. 4,7
4. Perhatikan jajargenjang PQRS berikut.
S R
P Q
Panjang PQ adalah 10 cm dan Qr adalah 8 cm. sudut PQR = 60˚. Tentukan luas
jajargenjang PQRS!
a. 40√3 cm3 d. 29√3 cm3
b. 41√5 cm3 e. 20 cm3
c. 41 cm3
5. Perhatika segitiga ABC dibawah:
C
A B
D
Bila panjang AB = 10 cm, panjang BC = 6 cm dan panjang CD = 3 cm. Tentukan
luas segitiga berikut.
a. 25 cm d. 15 cm
b. 13 cm e.23 cm
c. 19 cm
Fungsi Trigonometri

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Ekstra matematika

  • 1. Satuan Ukuran Sudut 1. Berapakah satuan radian dari sudut 330˚…. a. 11 6 π d. 14 π b. 13 6 π e. 11 π c. 14 11 π 2. Berapakah satuan radian dari sudut 90˚… a. 3 2 π d. 1 2 π b. 1 π e. 2 π c. 5 2 π 3. Berapakah satuan derajad dari 4 5 π … a. 120˚ d. 114˚ b. 135˚ e. 124˚ c. 144˚ 4. Berapakah satuan derajad dari 2 3 π... a. 144˚ d. 124˚ b. 114˚ e. 135˚ c. 120˚ 5. Nyatakan sudut 112˚54̍ 36̎ kedalam bentuk derajad decimal.. a. 92,71˚ d. 122,91˚ b. 112,91˚ e. 211,71˚ c. 213,65˚ Perbandingan Trigonometri Pada Segitiga Siku-siku 1. Diketahui segitiga ABC dengan panjang AB = 8 cm, AC = 6 cm dan BC = 10 cm. Tentukan sin α , cos α, dan tan α secara berurutan a. 3 5 , 4 5 , 3 4 d. 6 8 , 10 8 , 8 6 b. 8 10 , 6 10 , 6 8 e. 3 4 , 4 5 , 3 5 c. 5 4 , 3 4 , 4 5 2. Pada segitiga ABC diketahui sin B = 4 3 . Tentukan nilai cos B… a. 4 5 d. 5 4 b. 6 8 e. 4 8 c. 10 4
  • 2. 3. Perhatikan segitiga dibawah. B A C Diketahui sec α = 17 5 Tentukan nilai dari sin α , dan cot α a. 15 8 d. 15 8 b. 17 15 e. 15 17 c. 8 17 4. Perhatikan gambar. Jika sin β = 0,8 Tentukan : cos β dan cot β secara berurutan a. 3 4 , 3 5 d. 5 4 , 3 5 b. 3 5 , 3 4 e. 5 3 , 5 4 c. 5 3 , 4 3 5. Jika tan α = √3 dan α sudut lancip, tentukan nilai dari sin2 α + cos2 α.. a. 1 4 d. 3 4 b. 1 e. 3 2 c. 4
  • 3. Perbandingan Trigonometri di Berbagai Kuadran 1. Diketahui titik A(-6,8) dan sudut XOA = α. Tentukan nilai sin α, cos α, dan tan α. 8 cm y ……..… α 6 cm x a. 3 5 , 7 3 , − 5 4 d. − 1 3 , 7 5 , 1 3 2 b. 1 5 3 , 1 4 , 2 5 4 e. − 3 5 , 5 4 , 7 3 c. 4 5 , − 3 5 , − 4 3 2. Tentukan nilai trigonometri dari sin 300˚.. a. − 1 3 d. 1 4 b. 1 2 e. − 1 2 c. 1 3 3. Identitas Trigonometri 1. Pada identitas trigonometri (sin α– cos α)2 = a. Tan2 α –sin2 α b. 1-2 sin α cos α c. 1−2 cos 𝜃 sinθ𝑐𝑜𝑠𝜃 d. Sec x e. Sin4α - sin2 α 2. Pada identitas trigonometri (cos α + sin α)2 – (cos α– sin α)2 =
  • 4. a. Sin α + cos2α b. 2-4 cosα sinα c. Sin α d. Cos2 α– sin2α e. 4 sin α cosα 3. Pada identitas trigonometri (tan α+ cotα) cos2 α = a. Cot α b. 2 sin2 α c. Tan2α– cos4α d. Cos2 α + cot α e. Tan α – sin2α 4. Pada identitas trigonometri cos4 α – cos2 α = a. Sin4 α b. Tan2 α – cos2 α c. Cot α d. Sin4 α – sin2 α e. 1-2 cos α sin α 5. Pada identitas trigonometri tan x sin x + cos x = a. Tan α – cos2 α b. 2 sin2 α c. Sec x d. Cos α + sec2 α e. Cot4 α – sec α Aturan Sinus atau Kosinus 1. 2. 3. 4. 5. Aturan Sinus dan Kosinus 1. 2. 3. 4. 5.
  • 5. Luas Segitiga 1. Perhatikan gambar dibawah: C A B Bila setiap sisi memiliki panjang yang sama yaitu 12 cm. tentukan luas segitiga berikut. a. 36√3 cm2 d. 36√4 cm2 b. 37 cm2 e. 35 cm2 c. 36,3 cm2 2. Perhatikan gambar berikut: C A B Bila, panjang AC = 12 cm, panjang AB = 30 cm, dan sudut A = 53˚. Tentukan luas segitiga berikut. a. 127 cm2 d. 97 cm2 b. 144 cm2 e. 72 cm2 c. 239 cm2 3. Perhatikan segitiga PQR berikut. R Q P Bila panjang PR = 6 cm, panjang PQ = 10 cm, dan luas segitiga PQR = 24 cm2. Tentukan nilai sin x pada sudut P. a. 0,8 d. 0,98 b. 1,2 e. 1,533 c. 4,7
  • 6. 4. Perhatikan jajargenjang PQRS berikut. S R P Q Panjang PQ adalah 10 cm dan Qr adalah 8 cm. sudut PQR = 60˚. Tentukan luas jajargenjang PQRS! a. 40√3 cm3 d. 29√3 cm3 b. 41√5 cm3 e. 20 cm3 c. 41 cm3 5. Perhatika segitiga ABC dibawah: C A B D Bila panjang AB = 10 cm, panjang BC = 6 cm dan panjang CD = 3 cm. Tentukan luas segitiga berikut. a. 25 cm d. 15 cm b. 13 cm e.23 cm c. 19 cm Fungsi Trigonometri