1. 1

2. RANGKUMAN
RUMUS

3. 3
Sin(a + b) = sin a . cos b + cos a . Sin b
Sin(a - b) = sin a . cos b – cos a . Sin b
Rumus
jumlah dan selisih dua sudut
Cos(a + b) = cos a . cos b – sin a . Sin b
Cos(a - b) = cos a . cos b + sin a . Sin b

4. 4
tan(α + β) =
tan(α - β) =
βα
βα
tan.tan1
tantan
−
+
βα
βα
tan.tan1
tantan
+
−

5. 5
Rumus Sudut Rangkap
Sin 2a = 2 sin a . Cos a
Cos 2a =
asinacos 22
−
asinacos 22
−
Cos 2a = 1acos2 2
−
Cos 2a = asin21 2
−
A
B
C tan 2a =
atan1
atan2
2
−

6. Rumus Sudut Setengahan
sin a = 2
acos1−
±A
B
C
tan a =
2
1
cos a =2
1
2
acos1+
±
2
1
acos1
asin
asin
acos1
acos1
acos1
+
=
−
=
+
−
±

7. 7
Rumus
jumlah dan selisih sin dan cos
)ba(
2
1
sin).ba(
2
1
sin2bsinasin −+=+
)ba(
2
1
sin).ba(
2
1
cos2bsinasin −+=−
)ba(
2
1
cos).ba(
2
1
cos2bcosacos −+=+
)ba(
2
1
sin).ba(
2
1
sin2bcosacos −+−=−

8. 8
Rumus
perkalian sin dan cos
2 sin a . cos b = sin (a + b) + sin (a – b)
2 cos a . sin b = sin (a + b) – sin (a – b)
2 cos a . cos b = cos (a + b) + cos (a – b)
– 2 sin a . sin b = cos (a + b) – cos (a – b)

9. S + S
S – S
C + C
C - C
Menghafal Rumus
2 S C
2 C S
2 C C
– 2 S S
+
2
1
−
2
1
+ –
)ba(
2
1
cos).ba(
2
1
sin2bsinasinSC2SS −+=+→=+
)ba(sin)ba(sinbcos.asin2SSCS2 −++=→+=

10. 10
1. Sin 75o
= ….
Answer :
sin750
= sin(450
+ 300
)
= sin450
cos300
+ cos450
sin300
= ½√2.½√3 + ½√2.½
= ¼√6 + ¼√2
= ¼√2(√3 + 1)
Example :
Remember :
sin(α + β) = sinα.cosβ + cosα.sinβ

11. 11
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 =
5
3
25
7
? ?
5
3
A
3
5
4 5
4 B
cos B =
sin B =
25
7
7
25
24
25
24

12. 12
sin(A – B) = sin A cos B – cos A sin B
= x - x
=
=
5
3
25
7
5
4
25
24
125
96
125
21
−
5
3
125
75
−=−

13. 13
Solve:
cos α cos β + sin α sin β = cos (α - β)
=
=
=
....sinsincoscos 28
13
7
5
28
13
7
5
=+ ππππ
=+ 28
13
7
5
28
13
7
5
sinsincoscos ππππ )cos( 28
13
7
5 ππ
−
)(cos 28
7π
)(cos 4
π
2
2
1

14. 14
1. tan 105° = ….
Solve :
tan105° = tan(60° + 45°)
oo
oo
45tan.60tan1
45tan60tan
−
+
=
1.31
13
−
+
=
x
31
31
−
+
=
31
31
+
+

15. 15
tan 105° = x
=
=
=
= -2 - √3
31
31
−
+
31
31
+
+
31
)31( 2
−
+
31
3321
−
++
2
324
−
+

16. SELAMAT BELAJAR