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Broad Topics > Trigonometry > Trigonometric functions and graphs

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Tangled Trig Graphs

Stage: 5 Challenge Level: Challenge Level:1

Can you work out the equations of the trig graphs I used to make my pattern?

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Taking Trigonometry Series-ly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Look at the advanced way of viewing sin and cos through their power series.

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Sine and Cosine

Stage: 4 Challenge Level: Challenge Level:1

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?

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Squareness

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Loch Ness

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Draw graphs of the sine and modulus functions and explain the humps.

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Trig-trig

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Spherical Triangles on Very Big Spheres

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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.

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Building Approximations for Sin(x)

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Build up the concept of the Taylor series

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What Do Functions Do for Tiny X?

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Looking at small values of functions. Motivating the existence of the Taylor expansion.

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Degree Ceremony

Stage: 5 Challenge Level: Challenge Level:1

What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?


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