What is the general solution for tan(x)= 1/1 ?

The general solution for tan(x)= 1/1 is x= pi/4+pin

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tan(x)= 1/1

tan (x) = \frac{1}{1}

x = \frac{π}{4} + πn

Degrees

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

Solution steps

tan (x) = \frac{1}{1}

Apply rule

\frac{a}{1} = a

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

cos (2 θ) + 3 sin (θ) = 2

0 = 2 sin (2 x) - sin (x)

sec^{2} (\frac{x}{3}) = 2

sin (w) = 0.79

tan^{2} (x) - tan (x) = 0, [0 \leq x < 2 π]

What is the general solution for tan(x)= 1/1 ?
The general solution for tan(x)= 1/1 is x= pi/4+pin