Question

cos²x+2=sin²x+3cosx​

Answer 1

$cos^{2} x +2= { sin}^{2} x + 3 xcos x \ cos^{2} x + 2 = 1 - cos^{2} x + 3cos x \ 2cos^{2} x - 3 cos x + 1 = 0 \ ( cos x - 1)(2 cos x - 1) = 0 \ cos x = 1 : or : cos x = frac{1}{2}$