Question

Can someone factor this please?
2 sin^2 x = 2 + cos x interval [0, pi]

Answer 1

sin^2x=1-cos^2x

Answer 2

factor as in simplify or factor out sin cos?

Answer 3

2sin^2 x=2 +cos x
1.)Factor, Use the Trig identity 1-sin^2x=1-cos^2 x
2(1-sin^2x)=2+ cos x

2.) 2(1-cos^2x)=2+cosx

3.) 2-2cos^2x=2+cosx

4.) 2-2cos^2x-2cosx=0

5.) -2cos^2x-cosx=0

6.) 2cos^2x + cosx=0

7.) 2cos^2x+1=0

8.) cosx=-1/2

9.) x= pi/2, 2pi/3, 4pi/3, 3pi/2

Answer 4

Let me know if you understand

Answer 5

@n648c788 yes, completely understood. thanks so much.