What is the general solution for tan(x)= 1/(5^{1/2)} ?

The general solution for tan(x)= 1/(5^{1/2)} is x=0.42053…+pin

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tan(x)= 1/(5^{1/2)}

tan (x) = \frac{1}{5 ^{\frac{1}{2}}}

x = 0.42053 \dots + πn

Degrees

x = 24.09484 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{1}{5 ^{\frac{1}{2}}}

Apply trig inverse properties

tan (x) = \frac{1}{5 ^{\frac{1}{2}}}

General solutions for

tan (x) = \frac{1}{5 ^{\frac{1}{2}}}

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

x = arctan (\frac{1}{5 ^{\frac{1}{2}}}) + πn

x = arctan (\frac{1}{5 ^{\frac{1}{2}}}) + πn

Show solutions in decimal form

x = 0.42053 \dots + πn

3 csc (\frac{x}{2}) - 2 = 0

arcsin (y) = \frac{1}{2}

6 sin (y) = 0

tan (θ) = - \frac{3}{3}, 0 \leq θ \leq 2 π

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

What is the general solution for tan(x)= 1/(5^{1/2)} ?
The general solution for tan(x)= 1/(5^{1/2)} is x=0.42053…+pin