What is the general solution for sqrt(3)tan((3pi)/4 (x+(3pi)/2))=1 ?

The general solution for sqrt(3)tan((3pi)/4 (x+(3pi)/2))=1 is x= 2/9-(3pi)/2+(4n)/3

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sqrt(3)tan((3pi)/4 (x+(3pi)/2))=1

3 tan (\frac{3 π}{4} (x + \frac{3 π}{2})) = 1

x = \frac{2}{9} - \frac{3 π}{2} + \frac{4 n}{3}

Solution steps

3 tan (\frac{3 π}{4} (x + \frac{3 π}{2})) = 1

Divide both sides by

3

tan (\frac{3 π}{4} (x + \frac{3 π}{2})) = \frac{3}{3}

General solutions for

tan (\frac{3 π}{4} (x + \frac{3 π}{2})) = \frac{3}{3}

\frac{3 π}{4} (x + \frac{3 π}{2}) = \frac{π}{6} + πn

Solve

\frac{3 π}{4} (x + \frac{3 π}{2}) = \frac{π}{6} + πn : x = \frac{2}{9} - \frac{3 π}{2} + \frac{4 n}{3}

x = \frac{2}{9} - \frac{3 π}{2} + \frac{4 n}{3}

tan (x) = \frac{10}{4}

3 tan^{2} (x) + 11 tan (x) + 8 = 0

4 sin^{2} (x - \frac{π}{3}) = 3

cos (θ) = - 0.89

cos (θ) = - 0.81

What is the general solution for sqrt(3)tan((3pi)/4 (x+(3pi)/2))=1 ?
The general solution for sqrt(3)tan((3pi)/4 (x+(3pi)/2))=1 is x= 2/9-(3pi)/2+(4n)/3