What is the general solution for 4arctan(x)=pi ?

The general solution for 4arctan(x)=pi is x=1

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4arctan(x)=pi

4 arctan (x) = π

x = 1

Solution steps

4 arctan (x) = π

Divide both sides by

4

4 arctan (x) = π

Divide both sides by

4

\frac{4 arctan ( x )}{4} = \frac{π}{4}

Simplify

arctan (x) = \frac{π}{4}

arctan (x) = \frac{π}{4}

Apply trig inverse properties

arctan (x) = \frac{π}{4}

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

x = tan (\frac{π}{4})

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

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}

= 1

= 1

x = 1

x = 1

x, z = arctan (\frac{x + y}{x - y})

sec^{2} (x) + 3 = 5

sec (θ) + 2 = 22

tan (x) sin (x) + sin (- x) = 0

- sin (A) - 1 = 3 sin (A) + 2

What is the general solution for 4arctan(x)=pi ?
The general solution for 4arctan(x)=pi is x=1