Question

find all the solutions of the equation in the interval [0 2pi] 2 sin^2 x= 2 + cos x

Answer 1

Let's replace sin^2x with 1-cos^2x

Answer 2

\[2(1-\cos ^2x)=2+\cos x\]

Answer 3

\[2-2\cos ^2x=2+\cos x\]

Answer 4

\[-2\cos ^2x-\cos x=0\]

Answer 5

\[-\cos x(2\cos x+1)=0\]

Answer 6

Perhaps you can finish it now.

Answer 7

yes! thanks!!

Answer 8

yw