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

The general solution for tan(x)=(-1)/1 is x=(3pi)/4+pin

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tan(x)=(-1)/1

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

x = \frac{3 π}{4} + πn

Degrees

x = 13 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{3 π}{4} + πn

x = \frac{3 π}{4} + πn

4 cos (θ) = 1 - cos (θ)

sin (\frac{x}{3}) = 0

cos (x) = 0.95

2 cos (2 θ) + 2 cos (θ) + 2 = 3 cos (θ)

1 + csc (x) = cot^{2} (x)

What is the general solution for tan(x)=(-1)/1 ?
The general solution for tan(x)=(-1)/1 is x=(3pi)/4+pin