What is the general solution for 3tan(x)=-3 ?

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

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3tan(x)=-3

3 tan (x) = - 3

x = \frac{3 π}{4} + πn

Degrees

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

Solution steps

3 tan (x) = - 3

Divide both sides by

3

3 tan (x) = - 3

Divide both sides by

3

\frac{3 tan ( x )}{3} = \frac{- 3}{3}

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

5 sin (x) cos (x) = 3 cos (x)

3 cos (x) + sin (x) = 2

9 cosh (x) - 5 sinh (x) = 15

3 sin (x) = 3 cos (x)

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