Find the solutions of the equations in the interval 2SinxCos

Find the solutions of the equations in the interval 2SinxCosx - Sinx = 0 sinx - squareroot 2 = -sinx 2Cos(3x) - 1 = 0 Find the exact value of:

4)a) 2sinxcosx -sinx=0

sinx(2cosx-1)=0

sinx =0 , 2cosx-1=0

sinx=0, cosx=1/2

x=0, , x=_/3,5_/3,

x=0,_/3, ,5_/3

-------------------------------------

b)sinx -2 =-sinx

sinx+sinx=2

2sinx=2

sinx=2_/2

x=_/4 ,3_/4

-----------------------------------

c)0<=x<2

0<=3x<6

2cos(3x)-1=0

cos(3x)=1/2

3x =_/3,5_/3,7_/3,11_/3,13_/3,17_/3

x =_/9,5_/9,7_/9,11_/9,13_/9,17_/9