Use a Double or HalfAngle Formula to solve the equation in t

Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)

sin(2) + sin() = 0

=

Solution

sin(2) + sin() = 0

2sin()cos() + sin() = 0

sin() [2cos() + 1] = 0

sin() = 0 or 2cos() + 1 = 0

= 0, = 2/3 , 4/3

= 0,2/3, , 4/3