Find all solutions to the equation.
-$$\tan x = 3.7$$
(Use a calculator. Express your answer in radians, as a decimal rounded to the nearest thousandth.)
A) $\{ 4.449 + 2 \mathrm { n } \pi , 4.976 + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \}$
B) $\{ 1.835 + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \}$
C) $\{ 1.307 + 2 \mathrm { n } \pi , 1.835 + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \}$
D) $\{ 1.307 + \mathrm { n } \pi | \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \rangle$

Question

Quizplus · Accepted Answer

The equation $\tan x = 3.7$ has solutions where $x$ is equal to the arctan of 3.7 plus $n\pi$, where $n$ is any integer, because the tangent function has a period of $\pi$. Calculating $\arctan(3.7)$ gives approximately 1.307 radians, hence the correct form is $1.307 + n\pi$.

Find All Solutions to the Equation tan⁡x=3.7\tan x = 3.7tanx=3.7 (Use a Calculator

Find All Solutions to the Equation $\tan x = 3.7$ (Use a Calculator