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

The general solution for tan(x)=sqrt(3),-pi/3 <= x<= (3pi)/2 is x= pi/3 ,x=(4pi)/3

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

tan (x) = 3, - \frac{π}{3} \leq x \leq \frac{3 π}{2}

x = \frac{π}{3}, x = \frac{4 π}{3}

Degrees

x = 6 0^{\circ}, x = 24 0^{\circ}

Solution steps

tan (x) = 3, - \frac{π}{3} \leq x \leq \frac{3 π}{2}

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

- \frac{π}{3} \leq x \leq \frac{3 π}{2}

x = \frac{π}{3}, x = \frac{4 π}{3}

sin (x) = \frac{5}{16}

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

sin (a) = 0.36

sin (a) = 0.35

sin (2 x) = cos (2 x) + 1, \forall 0 \leq θ < 2 π

What is the general solution for tan(x)=sqrt(3),-pi/3 <= x<= (3pi)/2 ?
The general solution for tan(x)=sqrt(3),-pi/3 <= x<= (3pi)/2 is x= pi/3 ,x=(4pi)/3