Use a calculator to solve the equation on the interval [0, 2π). Round the answer to two decimal places.
-$\tan x = 5.1$
A) $1.38,4.52$
B) $1.38,4.90$
C) $1.38,1.76$
D) $1.38,2.95$

Question

Quizplus · Accepted Answer

To solve the equation $\tan x = 5.1$ on the interval [0, 2π), first find the principal value of $x$ by taking the arctan of 5.1, which gives $x \approx 1.38$ radians. Since the tangent function is positive in both the first and third quadrants, the other solution within the given interval is found by adding $\pi$ to the principal value, resulting in $1.38 + \pi \approx 4.52$ radians.

Use a Calculator to Solve the Equation on the Interval tan⁡x=5.1\tan x = 5.1tanx=5.1

Use a Calculator to Solve the Equation on the Interval $\tan x = 5.1$