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Math Help - i need help with simplifying trig fractions

  1. #1
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    i need help with simplifying trig fractions

    how do you simplify (1-tanθ/2)/(1+tanθ/2)
    need help exam tomorrow

    Last edited by pogiphilip; September 21st 2009 at 12:03 AM.
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  2. #2
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    Quote Originally Posted by pogiphilip View Post
    how do you simplify (1-tanθ/2)/(1+tanθ/2)
    need help exam tomorrow
    1. Substitute \tan \frac{\theta}{2} = \frac{\sin \frac{\theta}{2}}{\cos \frac{\theta}{2}}.

    2. Simplify by multiplying numerator and denominator by \cos \frac{\theta}{2}.

    3. Multiply the numerator and denominator of the above resulting expression by \cos \frac{\theta}{2} - \sin \frac{\theta}{2}.

    4. Simplify by applying the Pythagorean Identity and a Double Angle formula.
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  3. #3
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    sorry for your help but it wasnt the actual question i was ment to answer from my text book but thank you for your help mr fantastic
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