Find approximate solution for the equation in the interval -π
tan x= 2 csc x

Option a.

-1.144 , 1.144

Step-by-step 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

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).