Answer:
Option a.
-1.144 , 1.144
Explanation:
Since we are dealing with trascendental equations, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.
Please, see attached image
We graph both equations and find the intersection between them in the interval from -pi to pi
This will give the solution to the equation
tan(x) = 2* csc(x)
The answer is
x = -1.144
x = 1.144