Expressions and Functions 1.2
Applying trigonometric skills to manipulate expressions
Trigonometric Formulae
Addition formulae and Double angle formulae

Compound angles
HHM 187 11A
Time
1
period
 I understand concept of compound angles

Addition formulae
3 periods
sin (  +  )
HHM 189 11B
(1 – 7)
sin (  -  )
HHM 190 11C
(1 – 10)
cos (  +  ) and cos (  -  )
HHM 191 11D
(1 – 9)
HHM 193 11E
(1 – 8)
period
(1 – 6)
period
 I can use addition formulae

Trigonometric identities
 I can use addition formula to prove trigonometric identities

Applications of addition formulae
HHM 194 11F
 I can apply Addition Formula Formulae to problem solving context

Formulae involving 2
HHM 196 11G
(1 – 14)
period
 I can use the double angle formulae, including expanding sin4x, cos6x etc

Trigonometric equations
HHM 198 11H
(1 – 6)
 I can solve trigonometric equations that require the substitution of a
trigonometric identity
2 periods
Wave function

Waves and graphs


Time
HHM 301 16A
1 period
I can recall deriving equations, max and min values from graphs
Adding two waves
HHM 302 16B
1 period
 Introduction to the Wave Function through adding 2 waves

Expressing a cos x + b sin x
HHM 304 16C
(Odd nos.)
1 period
in the form k cos (x - )
 I can convert acosx + bsinx to kcos(x - α), with angle α in the first
quadrant and k > 0
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
The difference of two waves
HHM 304 16D
1 (a, d, g), 2 (a, c, e) 1 period

Expressing a cos x + b sin x in
HHM 305 16E
(1 – 5)
other forms
1 period
Parts a, c and f
 I can convert acosx + bsinx to kcos(x ± α) or ksin(x ± α), with angle α
as a value in 1 of 4 quadrants and k > 0

Multiple angles
HHM 306 16F
(1 – 3)
1 period
1, 2, 6, 8, 9, 10
1 period
 I can apply the wave function formula to multiple angles

Maxima and minimum values
HHM 307 16G
 I can find maximum and minimum values of a function by expressing
the function acosx + bsinx as a single trigonometric function

Solving equations
HHM 309 16H
1, 2
1 period
 I can solve equations involving acosx + bsinx using the wave function

Solving equations and sketching
graphs
HHM
16I
1 period
 I can solve mathematical applications in the form acosx + bsinx and
sketch associated graph
TOTAL 18 periods