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

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

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-tan(x)=1

- tan (x) = 1

x = \frac{3 π}{4} + πn

Degrees

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

Solution steps

- tan (x) = 1

Divide both sides by

- 1

- tan (x) = 1

Divide both sides by

- 1

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

Simplify

tan (x) = - 1

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 sin (3 x) = 7 cos (3 x)

6 sin^{2} (θ) + 13 sin (θ) + 7 = 0

12 sin^{2} (x) - 17 sin (x) + 6 = 0

sin (θ) = \frac{3}{3}

tan (x + π) + cos (x + \frac{π}{2}) = 0

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