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Eva8 [605]
3 years ago
6

Solve the equation!3 tan^3θ = tan θ

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0
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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