What is the general solution for 4tan(x)+4=0 ?

The general solution for 4tan(x)+4=0 is x=(3pi)/4+pin

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4tan(x)+4=0

4 tan (x) + 4 = 0

x = \frac{3 π}{4} + πn

Degrees

x = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

4 tan (x) + 4 = 0

Move

4

to the right side

4 tan (x) + 4 = 0

Subtract

4

from both sides

4 tan (x) + 4 - 4 = 0 - 4

Simplify

4 tan (x) = - 4

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{3 π}{4} + πn

x = \frac{3 π}{4} + πn

4 sin (θ) - 3 = 0, 0 \leq θ \leq 2 π

x, 0 = - 5 sin (2 x)

1.2 sin (2 4^{\circ}) = 1.2 sin (x)

cos (C) = 20.09 - \frac{27.1441}{19.6}

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

What is the general solution for 4tan(x)+4=0 ?
The general solution for 4tan(x)+4=0 is x=(3pi)/4+pin