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

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

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3tan(x)=3

3 tan (x) = 3

x = \frac{π}{4} + πn

Degrees

x = 4 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{π}{4} + πn

x = \frac{π}{4} + πn

3 cos^{2} (x) - 8 cos (x) - 3 = 0

cos (x) + sin (x) = 2

12 sin (c) + 6 = 5 sin (c) + 6

2 cos^{2} (t) - cos (t) - 1 = 0

sin (x) = - \frac{8}{17}

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