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Math Help - Simplify trig. expressions using identities? I would appericate any help given.

  1. #1
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    Simplify trig. expressions using identities? I would appericate any help given.

    1.Simplify:
    Cos(3pi/2-Beta)

    I have no idea how to solve?

    2.Simplify:
    (secB-1)(Sec B+1)

    Would the answer be -tan2B ?

    3. Simplify: fractions
    1+sin x cos x
    _____ + _____
    cos x 1+sin x

    Would the answer be 2 sec x ?

    4: Simplify:
    1-(sin theta - cos theta)2
    ____________________
    sin theta
    Last edited by SoConfused123; November 10th 2012 at 03:09 PM.
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  2. #2
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    Re: Simplify trig. expressions using identities? I would appericate any help given.

    Quote Originally Posted by SoConfused123 View Post
    1.Simplify:
    Cos(3pi/2-Beta)

    I have no idea how to solve?

    cos(a-b) = cos(a)cos(b)+sin(a)sin(b)

    2.Simplify:
    (secB-1)(Sec B+1)

    Would the answer be -tan2B ?

    +tan2(b)

    3. Simplify: fractions
    1+sin x cos x
    _____ + _____
    cos x 1+sin x

    Would the answer be 2 sec x ?

    yes

    4: Simplify:
    1-(sin theta - cos theta)2
    ____________________
    sin theta

    I cannot get pass

    1- sin2 theta - cos2 theta
    ____________________
    sin theta

    uhh ... (sint - cost)2 = sin2t - 2sint cost + cos2t
    ...
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  3. #3
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    Re: Simplify trig. expressions using identities? I would appericate any help given.

    Thank you for your help.
    So would #1 be Cotan Beta?
    And #4 be Tan theta?
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  4. #4
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    Re: Simplify trig. expressions using identities? I would appericate any help given.

    Quote Originally Posted by SoConfused123 View Post
    Thank you for your help.

    So would #1 be Cotan Beta? no ... it would be -sin(b)

    And #4 be Tan theta and no ... it would be 2cos(t)
    ...
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  5. #5
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    Re: Simplify trig. expressions using identities? I would appericate any help given.

    Oh...I'm horrible at this.
    Well thank you.
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