Trigonometric functions and graphs

There are 16 NRICH Mathematical resources connected to Trigonometric functions and graphs
What's that graph?
problem
Favourite

What's that graph?

Age
14 to 18
Challenge level
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Can you work out which processes are represented by the graphs?

Loch Ness
problem
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Loch ness

Age
16 to 18
Challenge level
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Draw graphs of the sine and modulus functions and explain the humps.
Squareness
problem
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Squareness

Age
16 to 18
Challenge level
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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?
Sine and Cosine
problem
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Sine and cosine

Age
14 to 16
Challenge level
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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?
Taking trigonometry series-ly
problem
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Taking trigonometry series-ly

Age
16 to 18
Challenge level
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Look at the advanced way of viewing sin and cos through their power series.
Tangled Trig Graphs
problem
Favourite

Tangled trig graphs

Age
16 to 18
Challenge level
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Can you work out the equations of the trig graphs I used to make my pattern?

Back fitter
problem
Favourite

Back fitter

Age
14 to 18
Challenge level
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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?

Climbing
problem

Climbing

Age
16 to 18
Challenge level
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Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.