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

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

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tan(y)=-1

tan (y) = - 1

y = \frac{3 π}{4} + πn

Degrees

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

Solution steps

tan (y) = - 1

General solutions for

tan (y) = - 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}

y = \frac{3 π}{4} + πn

y = \frac{3 π}{4} + πn

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