Trigonometric functions and graphs

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

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?
Trig-trig
problem

Trig-trig

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

Trigger

Age
16 to 18
Challenge level
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Can you sketch this tricky trig function?
Back fitter
problem

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?

Tangled Trig Graphs
problem

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?
Sine and Cosine
problem

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?
Spherical triangles on very big spheres
problem

Spherical triangles on very big spheres

Age
16 to 18
Challenge level
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Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.