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

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

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4+4tan(θ)=0

4 + 4 tan (θ) = 0

θ = \frac{3 π}{4} + πn

Degrees

θ = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

4 + 4 tan (θ) = 0

Move

4

to the right side

4 + 4 tan (θ) = 0

Subtract

4

from both sides

4 + 4 tan (θ) - 4 = 0 - 4

Simplify

4 tan (θ) = - 4

4 tan (θ) = - 4

Divide both sides by

4

4 tan (θ) = - 4

Divide both sides by

4

\frac{4 tan ( θ )}{4} = \frac{- 4}{4}

Simplify

tan (θ) = - 1

tan (θ) = - 1

General solutions for

tan (θ) = - 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}

θ = \frac{3 π}{4} + πn

θ = \frac{3 π}{4} + πn

tan (2 x + 3) = 1

6 cos^{2} (x) - 5 cos (x) + 1 = 0

1 - 2 sin (x) = cos (2 x)

tan (\frac{x}{2}) = \frac{1}{3}

6 cos (x) = 5

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