What is the general solution for 5tan(x)=-5 ?

The general solution for 5tan(x)=-5 is x=(3pi)/4+pin

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5tan(x)=-5

5 tan (x) = - 5

x = \frac{3 π}{4} + πn

Degrees

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

Solution steps

5 tan (x) = - 5

Divide both sides by

5

5 tan (x) = - 5

Divide both sides by

5

\frac{5 tan ( x )}{5} = \frac{- 5}{5}

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

- 2 cos (θ - 1) = 0.5

cos (θ) = \frac{1}{9}

- 33 sin (v) + 3 cos (v) = 32

x, - arctan (y) = arctan (x)

cot (x) = tan^{2} (x)

What is the general solution for 5tan(x)=-5 ?
The general solution for 5tan(x)=-5 is x=(3pi)/4+pin