What is the general solution for arctan(x)=30 ?

The general solution for arctan(x)=30 is x=(sqrt(3))/3

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arctan(x)=30

arctan (x) = 3 0^{\circ}

x = \frac{3}{3}

Solution steps

arctan (x) = 3 0^{\circ}

Apply trig inverse properties

arctan (x) = 3 0^{\circ}

arctan (x) = a \Rightarrow x = tan (a)

x = tan (3 0^{\circ})

tan (3 0^{\circ}) = \frac{3}{3}

tan (3 0^{\circ})

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

tan (3 0^{\circ})

tan (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

= \frac{3}{3}

x = \frac{3}{3}

x = \frac{3}{3}

x, - cos (x) + \frac{1}{y} = c

cos^{2} (x) - 3 sin (x) - 2 = 0

x, \frac{cos ( x )}{t a g} = \frac{3}{2}

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

tan (x) = (\frac{3}{2})

What is the general solution for arctan(x)=30 ?
The general solution for arctan(x)=30 is x=(sqrt(3))/3