Basic Trigonometry

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  1. Roshniroxy's Avatar
    • Peer Of The TSR Realm
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    Re: Basic Trigonometry
    (Original post by raheem94)
    See the diagram below:



    Use sin in the blue triangle and you are done.

    Spoiler:
    Show

     \displaystyle sin\frac{\pi}{6}=\frac{r}{6-r}

    brilliant! one question and sorry if it is a bit of a stupid one but the line r that you drew from the side AO to the middle you labelled it a right angle, how comes wouldn't the right angle be on the other side ?
    Last edited by Roshniroxy; 28-04-2012 at 13:54.
  2. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: Basic Trigonometry
    (Original post by Roshniroxy)
    brilliant! one question and sorry if it is a bit of a stupid one but the line r that you drew from the side AO to the middle you labelled it a right angle, how comes wouldn't the right angle be on the other side ?
    It is a right angled triangle because it is a tangent to the circle.

    I don't understand what you mean by 'other side'?
  3. Roshniroxy's Avatar
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    Re: Basic Trigonometry
    (Original post by raheem94)
    It is a right angled triangle because it is a tangent to the circle.

    I don't understand what you mean by 'other side'?
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  4. raheem94's Avatar
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    Re: Basic Trigonometry
    (Original post by Roshniroxy)
    No, this angle won't be a right angle.

    Remember tangents make an angle of 90degree with the radius of the circle, hence the other angle was a right angle.

    So we know one angle is 90 degree and one is 30 degree, so this angle will be 180-(90+30)=180-120=60deg.
  5. Roshniroxy's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,534
    Re: Basic Trigonometry
    (Original post by raheem94)
    No, this angle won't be a right angle.

    Remember tangents make an angle of 90degree with the radius of the circle, hence the other angle was a right angle.

    So we know one angle is 90 degree and one is 30 degree, so this angle will be 180-(90+30)=180-120=60deg.
    Thank you for this !
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