Question

Solve the equation:

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

Answer 1

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Answer 2

Step-by-step explanation:

Solution :

Firstly

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

Then, it's simple that

x= 120 degrees or x = - 30 degrees