Solve the problem.
-If $\tan \theta = - 4.5$, find the value of $\tan \theta + \tan ( \theta + \pi ) + \tan ( \theta + 2 \pi )$.
A) $- 11.5$
B) $- 13.5 + 3 \pi$
C) $- 13.5$
D) undefined

Question

Quizplus · Accepted Answer

The tangent function has a period of $\pi$, so $\tan(\theta + \pi) = \tan \theta$ and $\tan(\theta + 2\pi) = \tan \theta$. Therefore, $\tan \theta + \tan(\theta + \pi) + \tan(\theta + 2\pi) = 3 \tan \theta = 3(-4.5) = -13.5$.

Solve the Problem tan⁡θ=−4.5\tan \theta = - 4.5tanθ=−4.5 , Find the Value Of

Solve the Problem $\tan \theta = - 4.5$ , Find the Value Of