CAIE: A Level - Mathematics 9709 - Pure Mathematics 3

Trigonometry / Harmonic Form

KEYPOINTS:

a sinθ + b cosθ ≡ R sin(θ + α), where R = \(\sqrt{a^2 + b^2}\) and α = tan^–1\(\frac{b}{a}\)
a sinθ – b cosθ ≡ R sin(θ – α), where R = \(\sqrt{a^2 + b^2}\) and α = tan^–1\(\frac{b}{a}\)
a sinθ + b cosθ ≡ R cos(θ – α), where R = \(\sqrt{a^2 + b^2}\) and α = tan^–1\(\frac{a}{b}\)
a cosθ – b sinθ ≡ R cos(θ + α), where R = \(\sqrt{a^2 + b^2}\) and α = tan^–1\(\frac{b}{a}\)

Past Papers Topic Wise Questions A Level: Mathematics 9709 - Pure Mathematics 3 Trigonometry | Harmonic Form

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

The questions available on this website are the sole intellectual property of cambridgeinternational.org Our role is to curate these questions into organized topics, with the intention of benefiting students.

Copyright 2020 - , cambridgepapers.net | All rights reserved