What is the general solution for tan(x)=-sqrt(3),0<= x<= 2pi ?

The general solution for tan(x)=-sqrt(3),0<= x<= 2pi is x=(2pi)/3 ,x=(5pi)/3

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tan(x)=-sqrt(3),0<= x<= 2pi

tan (x) = - 3, 0 \leq x \leq 2 π

x = \frac{2 π}{3}, x = \frac{5 π}{3}

Degrees

x = 12 0^{\circ}, x = 30 0^{\circ}

Solution steps

tan (x) = - 3, 0 \leq x \leq 2 π

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{2 π}{3} + πn

x = \frac{2 π}{3} + πn

Solutions for the range

0 \leq x \leq 2 π

x = \frac{2 π}{3}, x = \frac{5 π}{3}

5 tan^{2} (A) - 7 = 8

tan (x) = \frac{28}{16}

2 sin^{2} (x) = 3 - sin (x)

9 tan (2 x) - 18 cos (x) = 0

8 cos (2 t) - 14 sin (2 t) = 0

What is the general solution for tan(x)=-sqrt(3),0<= x<= 2pi ?
The general solution for tan(x)=-sqrt(3),0<= x<= 2pi is x=(2pi)/3 ,x=(5pi)/3