Summary Trigonometry - IEB Grade 12 Mathematics Core P2

, reduction
thing equations
*


· ↑
↓

& ↑24
·
&
2. special
trig identities

Solution
↓) solutions triangles
of


& 3P
Sketch angles triangle
of
problems




90'o-ratio

180 0 -



90-8


180 5 A ⑧

TG 360




180 + G 360 -
0



270




identities

sinG

↓ LaRO:C OSO


+ COSG
sin28 1
=



2.




1. Sin?8
=


1 -COS28

simplifying backward
COS8 1-sin28 when there's itdisappear
=




*
C. a onemake




r o o mton o t roomble
I
↓ COS(A-B) COSACOSB
=


+ SiRAsin B Cos change
=


1. SiNIA=I SinACOSA ·


always in in front


2. COS (A B) COSACOSB-sinAsin B
+
=




sin: sign stays 2. COSIA COS"A-sin"
=


A ·
no in frontof
angle halfof original
3. Sin (A-B) SiNACOSB-COSASinB
=




2C052A
=
-

1



Sin (A +B) sinACOSB COSAsinB 25in- A
=




+ 1
=




4.
-




5. tan (A-B) tanA tanB
= +



3. tARZA 2tqnA
=




1 -
tanAt aR B 1 -
tan? A




6. taR (A +B) tamA -tanB
=




1 tanAtanB
+




them e

# ↑




↳
single angle double
angle 1.
angle between 0.360


compound & expand
angle 2. deduce quadrantsign

& expand
has a
boundary 3. Write rati
line


↓ 4. angle between 0-900 use reduction


reduce


special
# ↓
not special
angles &
co-ratio escape routes: 1. double

steps 2. Compound

1. quadrant

2.
sign
3. ratio