Solve #tan(x)=-1# where #0lexle2pi#. How many solutions are possible? In which quadrants would you find the solutions? Determine the related angle for the equation? Determine all the solutions for the equation?

1 Answer
Apr 14, 2018

Two solutions are possible. The solutions are in the 4th and 2nd quadrant

Explanation:

Take the tan inverse of 1 and you will get x=45. Don't take the negative sign in the calculator as the sign is only used to find the quadrant. This is -1 so the quadrant is 2nd and 4th because tan is negative in the second and fourth. 180-45=135 and 360-45=315. convert this to radian and the values are #3/4pi# and #7/4pi#