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trigonometry problem

Bryn
in Mathematics

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

 

Need all solutions in the range 0 < x <=360

 

Just a clue would be nice, i'm totally flummaxed.

question 22 of excercise 2c in the edexcel p1 book if you have it.

Use the fact that 4sinxcosx-2sinx-2cosx+1 = (2sinx-1)(2cosx-1).

Well, the equation becomes (2sinx-1)(2cosx-1)=0. This equation is satisfied if 2sinx-1=0 or 2cosx-1=0. So, the values for x are found by solving these two equations.

  • Author

are that's it, so easier once i knew to factorise it, must remeber to look out for that. Thanks.

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