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

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

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arctan(t)=0

arctan (t) = 0

t = 0

Solution steps

arctan (t) = 0

Apply trig inverse properties

arctan (t) = 0

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

t = 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

t = 0

t = 0

sin (\frac{x}{2}) = - 1

9 sinh (x) - 5 cosh (x) = 15

10 sin (x) + 10 cos^{2} (x) = 10, 0 \leq x < 2 π

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

cos (2 x) - cos (x) + 1 = 0

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