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Summary Trigonometry - IEB Grade 12 Mathematics Core P2

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High yield mathematics notes giving you all you need to know to ace your final papers - provides worked examples across all question difficulty levels as well as theory explanations for full rounded understanding. Key formulas and processes clearly indicated for quick reviews come exam time. Neatly laid out, digital, hand-written notes. Best used in conjunction w/ Grade 11 notes for the same section - this document provides a basic framework of all trig content but only goes into detail for what was covered new in matric, building on Grade 11 knowledge.

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, 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

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