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

The general solution for tan(2x)=4 is x=(1.32581…)/2+(pin)/2

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tan(2x)=4

tan (2 x) = 4

x = \frac{1.32581 \dots}{2} + \frac{πn}{2}

Degrees

x = 37.98187 \dots^{\circ} + 9 0^{\circ} n

Solution steps

tan (2 x) = 4

Apply trig inverse properties

tan (2 x) = 4

General solutions for

tan (2 x) = 4

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x = arctan (4) + πn

2 x = arctan (4) + πn

Solve

2 x = arctan (4) + πn : x = \frac{arctan ( 4 )}{2} + \frac{πn}{2}

2 x = arctan (4) + πn

Divide both sides by

2

2 x = arctan (4) + πn

Divide both sides by

2

\frac{2 x}{2} = \frac{arctan ( 4 )}{2} + \frac{πn}{2}

Simplify

x = \frac{arctan ( 4 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 4 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 4 )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = \frac{1.32581 \dots}{2} + \frac{πn}{2}

2 sin (2 x) = 1, in t er v a l (0, 36 0^{\circ})

sinh (x + 1) = 0

sin (a) = 0.6542

0 = - 6 sin (3 x)

tan (x) = 4 - 3 cot (x)

What is the general solution for tan(2x)=4 ?
The general solution for tan(2x)=4 is x=(1.32581…)/2+(pin)/2