What is the general solution for 2tan(2x)=-4sqrt(2) ?

The general solution for 2tan(2x)=-4sqrt(2) is x=-(1.23095…)/2+(pin)/2

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2tan(2x)=-4sqrt(2)

2 tan (2 x) = - 42

x = - \frac{1.23095 \dots}{2} + \frac{πn}{2}

Solution steps

2 tan (2 x) = - 42

Divide both sides by

2

tan (2 x) = - 22

Apply trig inverse properties

2 x = arctan (- 22) + πn

Solve

2 x = arctan (- 22) + πn : x = - \frac{arctan ( 2 2 )}{2} + \frac{πn}{2}

x = - \frac{arctan ( 2 2 )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{1.23095 \dots}{2} + \frac{πn}{2}

(4 sin (x) + 1) (2 sin (x) + 1) = 0

2 sin (3 x) \cdot sin (x) = 1

(\frac{2}{2}) (cos (θ) + sin (θ)) = 1

arcsin (6 x) + arcsin (6 3 x) = - \frac{π}{2}

2 cos^{2} (x) + sin (x) = 0

What is the general solution for 2tan(2x)=-4sqrt(2) ?
The general solution for 2tan(2x)=-4sqrt(2) is x=-(1.23095…)/2+(pin)/2