Question 38729
Set them equal and solve...you can substitute y = sin x to make things easier...
4 sin^2 x + 5 = 8 - sin x
4y^2 + y - 3 = 0
(4y - 3)(y + 1) = 0
y = 3/4 and y = -1
sin x = 3/4 and sin x = -1
x = 46.8° and x = 270°