For Exercises 2332 solve the equation a Write the solution s

For Exercises 23-32, solve the equation. a. Write the solution set for the general solution. b. Write the solution set on the interval [0, 2 pi). 5 + sin 3x = 4

Solution

5 +sin3x =4

sin3x = -1

3x = sin^-1(-1)

3x = 2k*pi +3pi/2

a) General solution x = (4k*pi +3pi)/6

b) sol, in the interval [0, 2pi)

k=0 x= pi/2

k =1 ; x= 7pi/6

k=2 ; x= 11pi/6

Solution x= pi/2, 7pi/6, 11pi/6