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These are the Transum resources related to the statement: "The circular functions sinx, cosx, and tanx; amplitude, their periodic nature, and their graphs. Composite functions of the form f(x)=asin(b(x+c))+d. Transformations. Real-life contexts".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

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*Consider the graph of \(f(x)=a\sin(b(x+c))+12\), for \(0\le x\le 24\).*" ... more - "
*The diagram shows part of the graph of \(y=a\sin{(bx)}+c\) with a minimum at \((-2.5,-2)\) and a maximum at \((2.5,4)\).*" ... more - "
*The Big Wheel at Fantasy Fun Fayre rotates clockwise at a constant speed completing 15 rotations every hour. The wheel has a diameter of 90 metres and the bottom of the wheel is 6 metres above the ground.*" ... more - "
*The population of sheep on a ranch is modelled by the function \(P(t)= 65 \sin(0.4t-32)+450\), where t is in months, and \(t=1\) corresponds to 1st January 2015.*" ... more - "
*The Fun Wheel at the Meller Theme Park rotates at a constant speed.*" ... more - "
*(a) Sketch the graph of \(f(x) = 4\sin x - 5\cos x \), for \(–2\pi \le x \le 2\pi \).*" ... more - "
*Let \(f(x)=\sin ( \frac {\pi}{4}x) + \cos ( \frac {\pi}{4}x) \), for \(-4\le x \le 4\)*" ... more - "
*Consider a function \(f\), such that \(f(x)=7.2\sin(\frac{\pi}{6}x + 2) + b\) where \( 0\le x \le 12\)*" ... more - "
*The height above the ground, H metres, of a passenger on a Ferris wheel t minutes after the wheel starts turning, is modelled by the following equation:*" ... more

Here are some Advanced Starters on this statement:

**Angle Thinking**

Find the range of possible angles, x, for which tan x > cos x > sin x more**Tansum**

Find the sum of the tangents of angles on a straight line. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

This video on Trig Graphs and Circular Functions is from Revision Village and is aimed at students taking the IB Maths AA SL/HL course.

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