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Eva8
[605]
3 years ago
6
Solve the equation!3 tan^3θ = tan θ
Mathematics
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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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