Question

Pls helpppp Find all solutions to the equation. sin2x + sin x = 0

Answer 1

Step-by-step explanation:

sin 2x + sin x = 0

Apply the identity: sin 2x = 2sin x.cos x

2sin x.cos x + sin x = 0.

sin x(2cos x + 1) = 0

a. sin x = 0 --> x=0,x=πandx=2πb/ 2cos x + 1 = 0cosx=−12-->x=±2π3

Answers for

(0,2π):0,π,2π3,4π3,2π

Reminder arc

4π3

is co-terminal to arc

−2π3

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x

=

π

n

,

2

π

3

+

2

π

n

,

4

π

3

+

2

π

n

x

=

π

n

,

2

π

3

+

2

π

n

,

4

π

3

+

2

π

n

, for any integer

n

n