There are **14** NRICH Mathematical resources connected to **Trigonometric functions and graphs**, you may find related items under Coordinates, Functions and Graphs.

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

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

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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?

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

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

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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.

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Build up the concept of the Taylor series

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

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Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.

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

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

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