Other tags that relate to Tangled Trig Graphs
Trigonometric functions and graphs. Graph sketching. Functions and their inverses. Biology. Limits of Sequences. Maths Supporting SET. Symmetry. Transformation of functions. Graphing software and graphical calculators. Turning points.There are 14 results
Broad Topics > Coordinates, Functions and Graphs > Trigonometric functions and graphs
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?
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?
Loch Ness
Age 16 to 18 Challenge Level:
Draw graphs of the sine and modulus functions and explain the humps.
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.
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.
After Thought
Age 16 to 18 Challenge Level:
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
What Do Functions Do for Tiny X?
Age 16 to 18 Challenge Level:
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Building Approximations for Sin(x)
Age 16 to 18 Challenge Level:
Build up the concept of the Taylor series
Taking Trigonometry Series-ly
Age 16 to 18 Challenge Level:
Look at the advanced way of viewing sin and cos through their power series.
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.
Trig-trig
Age 16 to 18 Challenge Level:
Explore the properties of combinations of trig functions in this open investigation.
Degree Ceremony
Age 16 to 18 Challenge Level:
What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.