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

The general solution for arctan(e^x)=0 is No Solution for x\in\mathbb{R}

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arctan(e^x)=0

arctan (e^{x}) = 0

No Solution for x \in R

Solution steps

arctan (e^{x}) = 0

Apply trig inverse properties

arctan (e^{x}) = 0

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

e^{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

e^{x} = 0

e^{x} = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

e^{x} = 0

a^{f (x)}

cannot be zero or negative for

x \in R

No Solution for x \in R

No Solution for x \in R

cos (x) = 3 - cos (x)

4 sin^{2} (x) + 1 = 4 sin (x)

- 0.6 = sin (30 t)

1 = tan (\frac{π}{4} + x)

tan (x) = \frac{6.1}{4}

What is the general solution for arctan(e^x)=0 ?
The general solution for arctan(e^x)=0 is No Solution for x\in\mathbb{R}