Sine, cosine, tangent

  • Making Waves
    problem

    Making Waves

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

  • Over The Pole
    problem

    Over the Pole

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    Two places are diametrically opposite each other on the same line of latitude. Compare the distances between them travelling along the line of latitude and travelling over the nearest pole.
  • Why stop at Three by One
    article

    Why Stop at Three by One

    Beautiful mathematics. Two 18 year old students gave eight different proofs of one result then generalised it from the 3 by 1 case to the n by 1 case and proved the general result.

  • The History of Trigonometry- Part 1
    article

    The History of Trigonometry- Part 1

    The first of three articles on the History of Trigonometry. This takes us from the Egyptians to early work on trigonometry in China.
  • Making Maths: Clinometer
    page

    Making Maths: Clinometer

    You can use a clinometer to measure the height of tall things that you can't possibly reach to the top of, Make a clinometer and use it to help you estimate the heights of tall objects.
  • Round and round a circle
    interactivity

    Round and Round a Circle

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Can you explain what is happening and account for the values being displayed?

  • Muggles, Logo and Gradients
    article

    Muggles, Logo and Gradients

    Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

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