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These are the Transum resources related to the statement: "Understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity. Know and use exact values of sin, cos and tan for the following angles (in degrees and radians) 0°, 30°, 45°, 60°, 90°, 180° and multiples thereof".

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:

- "
*(a) Write down the exact value of \(\tan 60^o\).*" ... more - "
*The area of triangle ABC (not drawn to scale) is*" ... more - "
*The diagram shows part of the graph of \(y=asinbx+c\) with a minimum at \((-2.5,-2)\) and a maximum at \((2.5,4)\).*" ... more - "
*A Big Wheel at an amusement park has a diameter of length 70 metres which rotates at a constant speed. The bottom of the wheel is h metres above the ground. A seat starts at the bottom of the wheel.The wheel completes one revolution in 4 minutes. [The diagram is not to scale]*" ... 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

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

Transum,

Saturday, August 17, 2019

"Here's an Advanced Lesson Starter that is just right to present to a class when they are learning exact values of common angles. It is a challenge to find the Tangent of 22.5^{o} without using a calculator but a helpful diagram is included."

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