What is the general solution for tan(4x)=12 ?

The general solution for tan(4x)=12 is x=(1.48765…)/4+(pin)/4

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tan(4x)=12

tan (4 x) = 12

x = \frac{1.48765 \dots}{4} + \frac{πn}{4}

Degrees

x = 21.30908 \dots^{\circ} + 4 5^{\circ} n

Solution steps

tan (4 x) = 12

Apply trig inverse properties

tan (4 x) = 12

General solutions for

tan (4 x) = 12

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

4 x = arctan (12) + πn

4 x = arctan (12) + πn

Solve

4 x = arctan (12) + πn : x = \frac{arctan ( 12 )}{4} + \frac{πn}{4}

4 x = arctan (12) + πn

Divide both sides by

4

4 x = arctan (12) + πn

Divide both sides by

4

\frac{4 x}{4} = \frac{arctan ( 12 )}{4} + \frac{πn}{4}

Simplify

x = \frac{arctan ( 12 )}{4} + \frac{πn}{4}

x = \frac{arctan ( 12 )}{4} + \frac{πn}{4}

x = \frac{arctan ( 12 )}{4} + \frac{πn}{4}

Show solutions in decimal form

x = \frac{1.48765 \dots}{4} + \frac{πn}{4}

4 csc (B) + 5 = 0

2 cos (\frac{π}{5} x) = 3

sin^{2} (x) + 8 sin (x) - 1 = 0

x, y = arctan (2 x + 3 y)

sin (2 x) = 0.89583

What is the general solution for tan(4x)=12 ?
The general solution for tan(4x)=12 is x=(1.48765…)/4+(pin)/4