Trigonometric functions and graphs

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Favourite

Sine and Cosine

Age

14 to 16

Challenge level

The sine of an angle is equal to the cosine of its complement. Can you explain why and does this rule extend beyond angles of 90 degrees?
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Favourite

Taking Trigonometry Series-Ly

Age

16 to 18

Challenge level

Look at the advanced way of viewing sin and cos through their power series.
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Favourite

Squareness

Age

16 to 18

Challenge level

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?
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Favourite

Back Fitter

Age

14 to 18

Challenge level

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
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Favourite

What's That Graph?

Age

14 to 18

Challenge level

Can you work out which processes are represented by the graphs?
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Favourite

Tangled Trig Graphs

Age

16 to 18

Challenge level

Can you work out the equations of the trig graphs I used to make my pattern?
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Favourite

Loch Ness

Age

16 to 18

Challenge level

Draw graphs of the sine and modulus functions and explain the humps.
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Small Steps

Age

16 to 18

Challenge level

Two problems about infinite processes where smaller and smaller steps are taken and you have to discover what happens in the limit.
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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.
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Trigger

Age

16 to 18

Challenge level

Can you sketch this tricky trig function?