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

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

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-1=tan(x)

- 1 = tan (x)

x = \frac{3 π}{4} + πn

Degrees

x = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

- 1 = tan (x)

Switch sides

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

sin (2 x) = \frac{3}{2}, 0 \leq x \leq 2 π

2 tan (x) = 1 - tan^{2} (x)

3 sin (θ) + 3 = 2 cos^{2} (θ)

cos (x) = - \frac{5}{6}

2 sin (\frac{x}{2}) - 3 = 0

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