What is the general solution for tan((3θ)/4)=(-sqrt(3))/3 ?

The general solution for tan((3θ)/4)=(-sqrt(3))/3 is θ=(10pi)/9+(4pin)/3

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tan((3θ)/4)=(-sqrt(3))/3

tan (\frac{3 θ}{4}) = \frac{- 3}{3}

θ = \frac{10 π}{9} + \frac{4 πn}{3}

Solution steps

tan (\frac{3 θ}{4}) = \frac{- 3}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

tan (\frac{3 θ}{4}) = - \frac{3}{3}

General solutions for

tan (\frac{3 θ}{4}) = - \frac{3}{3}

\frac{3 θ}{4} = \frac{5 π}{6} + πn

Solve

\frac{3 θ}{4} = \frac{5 π}{6} + πn : θ = \frac{10 π}{9} + \frac{4 πn}{3}

θ = \frac{10 π}{9} + \frac{4 πn}{3}

30 = 15 cos (\frac{2 π}{365} t) + 43

sin (x) = + 1 e

sin (2 x) cos (x) + cos (2 x) sin (x) = - 1

2 cos (x) = 0.2

cos (a) = - sin (a)

What is the general solution for tan((3θ)/4)=(-sqrt(3))/3 ?
The general solution for tan((3θ)/4)=(-sqrt(3))/3 is θ=(10pi)/9+(4pin)/3