Question: a) Show that the equation tan 2x = 5 sin 2x Can be written in the form (1 – 5 cos 2x) sin 2x = 0 b) Hence, solve for 0 < x < 180° tan 2x = 5 sin 2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question:
a) Show that the equation
tan 2x = 5 sin 2x
Can be written in the form
(1 – 5 cos 2x) sin 2x = 0
b) Hence, solve for 0 < x < 180°
tan 2x = 5 sin 2x
Giving your answers to 1 decimal place where appropriate.
You must show clearly how you obtained your answers.
Answer:
a) hint: use trigo ratio of tan x
b) x = 0°,39.2°, 90°, 140.8, 180°
Transcribed Image Text:Question: a) Show that the equation tan 2x = 5 sin 2x Can be written in the form (1 – 5 cos 2x) sin 2x = 0 b) Hence, solve for 0 < x < 180° tan 2x = 5 sin 2x Giving your answers to 1 decimal place where appropriate. You must show clearly how you obtained your answers. Answer: a) hint: use trigo ratio of tan x b) x = 0°,39.2°, 90°, 140.8, 180°
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