Trigonometric functions and graphs

problem

Building Approximations for Sin(x)

Age

16 to 18

Challenge level

Build up the concept of the Taylor series
problem

Spherical Triangles on Very Big Spheres

Age

16 to 18

Challenge level

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.
problem

Trig-Trig

Age

16 to 18

Challenge level

Explore the properties of combinations of trig functions in this open investigation.
problem

Degree Ceremony

Age

16 to 18

Challenge level

Can you find the sum of the squared sine values?
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.
problem

Making Waves

Age

16 to 18

Challenge level

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