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Math Help - Preparing for next year

  1. #1
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    Preparing for next year

    Hi,

    I've asked for a list of questions from a teacher to do over the holidays. I'm struggling to use the text book to help me.

    Could someone provide HOW to do these questions, as I just want to get an idea of what I'm getting next year.

    Thanks.

    1. Prove that:
    a) sin(x+(pi/4))+sin(x-(pi/4))=sqrt(2)sinx
    b) sin(x+(pi/)4)sin(x-(pi/4))=sin^2 x - (1/2)

    2. Simplify (1+sin2x+cos2x)/(1+sin2x-cos2x)
    Last edited by jonoe; December 12th 2010 at 08:22 PM. Reason: Splitting up posts
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  2. #2
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    Quote Originally Posted by jonoe View Post
    Hi,

    I've asked for a list of questions from a teacher to do over the holidays. I'm struggling to use the text book to help me.

    Could someone provide HOW to do these questions, as I just want to get an idea of what I'm getting next year.

    Thanks.

    1. Prove that:
    a) sin(x+(pi/4))+sin(x-(pi/4))=sqrt(2)sinx
    b) sin(x+(pi/)4)sin(x-(pi/4))=sin^2 x - (1/2)

    2. Simplify (1+sin2x+cos2x)/(1+sin2x-cos2x)
    1. In both cases apply the compound angle formula for sin(A + B).

    2. Substitute the double angle formulae and simplify.

    Please refer to my comments in another of your threads.
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