What is the general solution for arctan(x)=0 ?

The general solution for arctan(x)=0 is x=0

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arctan(x)=0

arctan (x) = 0

x = 0

Solution steps

arctan (x) = 0

Apply trig inverse properties

arctan (x) = 0

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

x = tan (0)

tan (0) = 0

tan (0)

Use the following trivial identity:

tan (0) = 0

tan (0)

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}

= 0

= 0

x = 0

x = 0

sin (x) + cos (2 x) = 1

csc (x) + cot (x) = 3

sin^{2} (θ) - 1 = 0

3 tan (x) = - 3

5 sin (x) + 2 = sin (x)

What is the general solution for arctan(x)=0 ?
The general solution for arctan(x)=0 is x=0