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

The general solution for 4tan(x)=4 is x= pi/4+pin

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4tan(x)=4

4 tan (x) = 4

x = \frac{π}{4} + πn

Degrees

x = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

4 tan (x) = 4

Divide both sides by

4

4 tan (x) = 4

Divide both sides by

4

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

Simplify

tan (x) = 1

tan (x) = 1

General solutions for

tan (x) = 1

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = \frac{π}{4} + πn

x = \frac{π}{4} + πn

tan (\frac{x}{2}) + 1 = 0

7 tan^{3} (x) - 21 tan (x) = 0

\frac{1}{2} cos (3 x) = - \frac{1}{4}

cos (x) = \frac{4}{5}, csc (x) < 0

cos (y) = 0.5736

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