What is the general solution for 1tan(x)=sqrt(3) ?

The general solution for 1tan(x)=sqrt(3) is x= pi/3+pin

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1tan(x)=sqrt(3)

1 tan (x) = 3

x = \frac{π}{3} + πn

Degrees

x = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

1 \cdot tan (x) = 3

Multiply:

1 \cdot tan (x) = tan (x)

tan (x) = 3

General solutions for

tan (x) = 3

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}{3} + πn

x = \frac{π}{3} + πn

tan (x) = \frac{1.6}{4}

sin^{2} (x) + 7 sin^{2} (x) + 5 cos^{2} (x) + 3 = 0

2 cos (a) = 3 sin^{2} (a)

\frac{11}{cos ( 9 0 ^{\circ} )} = \frac{10}{cos ( x )}

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

What is the general solution for 1tan(x)=sqrt(3) ?
The general solution for 1tan(x)=sqrt(3) is x= pi/3+pin