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Degree Ceremony

Can you find the sum of the squared sine values?

Making Waves

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

Small Steps

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

Tangled Trig Graphs

Age 16 to 18
Challenge Level

All these graphs have the same maximum and minimum values.  What are these?  Want does this tell use about the equations of the graphs?

What effect does changing the constant $a$ have on the graph $y=\sin(ax)$?
 

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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