What is the general solution for tan((2x)/3)-1=0 ?

The general solution for tan((2x)/3)-1=0 is x=(3pi)/8+(3pin)/2

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tan((2x)/3)-1=0

tan (\frac{2 x}{3}) - 1 = 0

x = \frac{3 π}{8} + \frac{3 πn}{2}

Solution steps

tan (\frac{2 x}{3}) - 1 = 0

Move

1

to the right side

tan (\frac{2 x}{3}) = 1

General solutions for

tan (\frac{2 x}{3}) = 1

\frac{2 x}{3} = \frac{π}{4} + πn

Solve

\frac{2 x}{3} = \frac{π}{4} + πn : x = \frac{3 π}{8} + \frac{3 πn}{2}

x = \frac{3 π}{8} + \frac{3 πn}{2}

sin (θ) - cos (θ) = 1

- \frac{5}{2} csc (\frac{θ}{2}) = - 3 - csc (\frac{θ}{2})

4 cos (2 θ) + 11 sin (θ) - 4 = 3

sinh (x) = \frac{7}{24}

cos (x) = \frac{5}{15}

What is the general solution for tan((2x)/3)-1=0 ?
The general solution for tan((2x)/3)-1=0 is x=(3pi)/8+(3pin)/2