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Math Help - trig substitution?

  1. #1
    Member i_zz_y_ill's Avatar
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    trig substitution?

    hia, does anyone know the substitution they used to get this:

    Questions is find the solutions for this, 1= 2cos^2(2x)-sin(2x) and they got 2sin^2(2x)+sin(2x)

    thanks!!?
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  2. #2
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    What are you solving for?
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  3. #3
    Member i_zz_y_ill's Avatar
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    just says find all the solutions from 0 to 2pi,, answers in terms of pi cant see how they got that second expression though,(ie in the solutions??) any clue?
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  4. #4
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    Maybe i'm misunderstanding, solutions for what? x?

    All I can say at the moment is that

    2sin^2(2x) + sin(2x) = 2 - (2cos^2(2x) - sin(2x))
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  5. #5
    Member i_zz_y_ill's Avatar
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    i menat \theta instead of x and if that is the case what youve said then surely theyre solution is wrong ''.
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