Question

2 sen t - cos t -1 = 0

Answer 1

-1-cos(t)+2 sin(t) = 0
x = tan(t/2).
sin(t) = (2 x)/(x^2+1)
cos(t) = (1-x^2)/(x^2+1):-1+1/(-1-x^2)+(4 x)/(x^2+1)+x^2/(x^2+1) = 0 -1+1/(-1-x^2)+(4 x)/(x^2+1)+x^2/(x^2+1) x^2+1:
(2 (2 x-1))/(x^2+1) = 0
(2 x-1)/(x^2+1) = 0
2 x-1 = 0
2 x = 1
x = 1/2
tan(t/2) = 1/2
t = 2 tan^(-1)(1/2)+2*pi*n