What is the general solution for tan(x)= 5/5 ?

The general solution for tan(x)= 5/5 is x= pi/4+pin

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tan(x)= 5/5

tan (x) = \frac{5}{5}

x = \frac{π}{4} + πn

Degrees

x = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{5}{5}

Apply rule

\frac{a}{a} = 1

tan (x) = 1

General solutions for

tan (x) = 1

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}

x = \frac{π}{4} + πn

x = \frac{π}{4} + πn

sin (θ) cos (θ) = 0

csc (θ) = \frac{1}{2}

sin (θ) = \frac{3}{2}

\frac{1}{4} sin (x) + 1 = 0

cos (x) sin (x) + 5 sin (x) = 0

What is the general solution for tan(x)= 5/5 ?
The general solution for tan(x)= 5/5 is x= pi/4+pin