Question

Can someone help me please?

Answer 1

`\bold{ \sf \theta = (\pi )/(9) , \ \ (2)/(9) \pi , \ (7 \pi )/(9), \ \ (8\pi )/(9), \ (13\pi )/(9), \ (14\pi )/(9)}`

Step-by-step explanation:

`\dashrightarrow \ \ \sf 2sin(3\theta) = √(3)`

`\dashrightarrow \ \ \sf sin(3\theta) = ( √(3))/(2)`

`\dashrightarrow \ \ \sf 3\theta = sin^(-1)(( √(3))/(2))`

[ your calc should be in radian mode [R] ]

`\dashrightarrow \ \ \sf 3\theta = (\pi )/(3) , \ \ (2)/(3) \pi , \ \ (7 \pi )/(3), \ \ (8\pi )/(3), \ (13\pi )/(3), \ (14\pi )/(3)`

`\dashrightarrow \ \ \sf \theta = (\pi )/(9) , \ \ (2)/(9) \pi , \ \ (7 \pi )/(9), \ \ (8\pi )/(9), \ (13\pi )/(9), \ (14\pi )/(9)`