What is the general solution for tan(θ)= 8/8 ?

The general solution for tan(θ)= 8/8 is θ= pi/4+pin

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tan(θ)= 8/8

tan (θ) = \frac{8}{8}

θ = \frac{π}{4} + πn

Degrees

θ = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{8}{8}

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

cos (2 x - \frac{π}{14}) = 0

2 = 2 tan (x)

\frac{sin ( x )}{1 + cos ( x )} + cot (x) = 2

4 cos (2 θ) + 16 cos (θ) + 4 = 9 cos (θ)

sin (θ) = \frac{7 π}{3}

What is the general solution for tan(θ)= 8/8 ?
The general solution for tan(θ)= 8/8 is θ= pi/4+pin