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

The general solution for tan(2x)=sqrt(3),0<= x<2pi is x= pi/6 ,x=(2pi)/3 ,x=(7pi)/6 ,x=(5pi)/3

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

tan (2 x) = 3, 0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{2 π}{3}, x = \frac{7 π}{6}, x = \frac{5 π}{3}

Solution steps

tan (2 x) = 3, 0 \leq x < 2 π

General solutions for

tan (2 x) = 3

2 x = \frac{π}{3} + πn

Solve

2 x = \frac{π}{3} + πn : x = \frac{π}{6} + \frac{πn}{2}

x = \frac{π}{6} + \frac{πn}{2}

Solutions for the range

0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{2 π}{3}, x = \frac{7 π}{6}, x = \frac{5 π}{3}

cos (0)

tan (arcsin (- \frac{3}{5}))

sec^{2} (x) - 2 = 0

cos (2 t) = \frac{- 3}{2}

cos (2 x) = \frac{3}{2}, 0 \leq x \leq 2 π

What is the general solution for tan(2x)=sqrt(3),0<= x<2pi ?
The general solution for tan(2x)=sqrt(3),0<= x<2pi is x= pi/6 ,x=(2pi)/3 ,x=(7pi)/6 ,x=(5pi)/3