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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.

- Inverse Trig Calculator This calculator is designed to find all of the angles for a given trigonometric ratio and show them on a graph.
- Common Trig Ratios Video You may not realise that it is possible to find sin60° or tan45° without a calculator. This video is to help you do the online, self-marking exercise.
- Common Trig Ratios A self-marking exercise on finding the exact values of sine, cosine and tangent of special angles.

Here are some exam-style questions on this statement:

- "
*Find the exact value of tan45° × sin30° × cos30°*" ... more - "
*(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 \(y=a\sin{(bx)}+c\) 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 - "
*(a) Sketch the graph of \(f(x) = 4\sin x - 5\cos x \), for \(–2\pi \le x \le 2\pi \).*" ... 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

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 Unit Circle and Trig Ratios is from Revision Village and is aimed at students taking the IB Maths AA SL and HL Standard level course

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.

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

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."

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.