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V2iderabrookeyda
V2iderabrookeyda V2iderabrookeyda
  • 13-10-2016
  • Mathematics
Answered

Solve the equation!3 tan^3θ = tan θ

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 25-10-2016

3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π ,  k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π ,  k ∈ Z

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