What is the general solution for sqrt(2)tan(2x)+sqrt(2)=0 ?

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

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sqrt(2)tan(2x)+sqrt(2)=0

2 tan (2 x) + 2 = 0

x = \frac{3 π}{8} + \frac{πn}{2}

Solution steps

2 tan (2 x) + 2 = 0

Move

2

to the right side

2 tan (2 x) = - 2

Divide both sides by

2

tan (2 x) = - 1

General solutions for

tan (2 x) = - 1

2 x = \frac{3 π}{4} + πn

Solve

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

x = \frac{3 π}{8} + \frac{πn}{2}

2 sin^{2} (x) - 3 = 0

sin (α) - cos (α) = m

1 + a cos (x) = (a + 1)^{2}

tan^{4} (x) - 9 = 0

(tan (x) - 1) (3 cot (x) - 1) = 0

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