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= pi/3 ,x=(4pi)/3

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

tan (x) = 3, 0 \leq x \leq 2 π

x = \frac{π}{3}, x = \frac{4 π}{3}

Degrees

x = 6 0^{\circ}, x = 24 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{π}{3} + πn

x = \frac{π}{3} + πn

Solutions for the range

0 \leq x \leq 2 π

x = \frac{π}{3}, x = \frac{4 π}{3}

3 sec (θ) + 7 = 0

(tan (x) + 1) (sec (x) - 1) = 0

cos (θ) = 23

7 sin^{2} (θ) - 16 sin (θ) + 9 = 0

cos^{2} (x) - cos (x) - 6 = 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= pi/3 ,x=(4pi)/3