- (a) (i) Given that tan 2x+tan x=0, show that tan.x = 0 or tan²x = 3. (ii) Hence find all solutions of tan 2x + tanx = 0 in the interval 0º < x < 180°.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 65E
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(a) (i)
(ii)
Given that tan 2x+tan x=0, show that tan.x = 0 or tan²x = 3.
Hence find all solutions of tan 2x + tan.x
0 in the interval 0° <x< 180°.
Transcribed Image Text:(a) (i) (ii) Given that tan 2x+tan x=0, show that tan.x = 0 or tan²x = 3. Hence find all solutions of tan 2x + tan.x 0 in the interval 0° <x< 180°.
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