Question

Solve for theta: Giving a general formula for all of the solution
tan(theta)=-1

Answer 1

\[\tan(\theta)=-1\]
\[\theta =\frac{3\pi}{4} \] is one solution

Answer 2

tan theta = -1
theta = n*pi + 3pi/4, where n is any integer (the general solution)

Answer 3

since tangent is periodic with period pi, all the solutions will look like
\[\frac{\pi}{4}+k\pi, k \in \mathbb Z\]

Answer 4

typo there i meant
\[\frac{3\pi}{4}+k\pi, k \in \mathbb Z\]