Trigonometric functions and graphs

  • Trig-trig
    problem

    Trig-Trig

    Age
    16 to 18
    Challenge level
    Explore the properties of combinations of trig functions in this open investigation.
  • Degree Ceremony
    problem

    Degree Ceremony

    Age
    16 to 18
    Challenge level

    Can you find the sum of the squared sine values?

  • Climbing
    problem

    Climbing

    Age
    16 to 18
    Challenge level

    Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.

  • What do functions do for tiny x?
    problem

    What Do Functions Do for Tiny X?

    Age
    16 to 18
    Challenge level

    Looking at small values of functions. Motivating the existence of the Maclaurin expansion.

  • Trigger
    problem

    Trigger

    Age
    16 to 18
    Challenge level

    Can you sketch this tricky trig function?

  • Making Waves
    problem

    Making Waves

    Age
    16 to 18
    Challenge level

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

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