Question

Solve
tan x + 1 = 0
for x.

Answer 1

tan x + 1 = 0
tan x + 1 - 1 = 0 - 1
tan x = - 1
We will use the unit circle:
tan ( - 45° ) = - 1
tan ( - π / 4 ) = - 1
Answer:
x = - π / 4 + n π, n ∈ Z