What is the general solution for tan(θ)= 2/2 ?

The general solution for tan(θ)= 2/2 is θ= pi/4+pin

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tan(θ)= 2/2

tan (θ) = \frac{2}{2}

θ = \frac{π}{4} + πn

Degrees

θ = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{2}{2}

Apply rule

\frac{a}{a} = 1

tan (θ) = 1

General solutions for

tan (θ) = 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}

θ = \frac{π}{4} + πn

θ = \frac{π}{4} + πn

sin (θ) = \frac{33}{55}

2 cos (x) - 4 = - 3

\frac{sin ( 2 x )}{sin ( \frac{7 π}{2} - x )} = 2

- 2 sec (θ) + 23 = 0, 0^{\circ} \leq θ \leq 36 0^{\circ}

cos (x + 1) = - \frac{2}{5}

What is the general solution for tan(θ)= 2/2 ?
The general solution for tan(θ)= 2/2 is θ= pi/4+pin