Everything Maths Grade 12

(Marvins-Underground-K-12) #1

CHAPTER 10. TRIGONOMETRY 10.3


1 − siny− (1− 2 sin^2 y)
2 siny cosy− cosy

=− 1


=⇒


2 sin^2 y− siny
cosy(2 siny− 1)

=− 1


=⇒


siny(2 siny− 1)
cosy(2 siny− 1)

=− 1


=⇒ tany =− 1
=⇒ y = 135◦+ 180◦n; n∈Z

10.3 Applications of Trigonometric Functions


EMCCN


Problems in Two Dimensions EMCCO


Example 5: Problem in Two Dimensions


QUESTION






A

C B

D

O

θ

x

x

For the figure below, we are given that
CD = BD = x.

Show that BC^2 = 2x^2 (1 + sinθ).
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