1. sin^2 theta+cos theta=2 (Hint: Use the Pythagorean identity sin^2 theta+cos theta=1 to replace sin^2 theta in the given equation.)

Question

1. sin^2 theta+cos theta=2 (Hint: Use the Pythagorean identity sin^2 theta+cos theta=1  to replace sin^2 theta  in the given equation.)
I got no solution

Reiny · Accepted Answer

sin^2 Ø + cosØ -2 = 0 1-cos^2 Ø + cosØ - 2 = 0 cos^2 Ø - cosØ + 1 = 0 cosØ = (1 ± √-3)/2 which is not real you are correct, there is no solution.