Solve the equation:

4sinxcosx + 2sinx + 2cosx + 1 = 0

4sinxcosx + 2sinx + 2cosx + 1 = 0

2sinx(2cosx+1)+1(2cosx+1)=0

(2cosx+1)(2sinx+1)=0

2cosx+1=0 or 2 sinx+1=0

Cosx=-1/2 or Sinx =-1/2

x= 120 degrees or x = - 30 degrees

  • 57
  1. 2sinx (2cosx+1)+1(2cosx+1) = 0
  2. (2sinx+1)(2cosx+1) = 0
  3. sinx =-1/2
  4. -sin30 = -1/2
  5. 2cosx+1=0
  6. -cos60=-1/2
  • 2
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