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# Hi, I am attempting to solve a trigonometric equation problem where I have to find all of the solutions on the interval of [0, 2 pi).

Hi, I am attempting to solve a trigonometric equation problem where I have to find all of the solutions on the interval of [0, 2 pi). I am stuck on this problem and any help would be greatly appreciated. The problem is as follows: 1-2tan(w)=tan^2(w).

It can be rewritten as tan2w+2tanw-1 = 0. Let z = tan w. Hence, it becomes;z2+2z-1 = 0So, z = [-2+√(22-4*1*(-1))]/2 = 0.4142 and z = [-2-√(22-4*1*(-1))]/2 = -2.4142Hence, w= tan-10.4142 =...