Bearings

Want to download the Bearings revision notes in PDF format? What are Bearings in Maths? A bearing measures the movement of an angle in a clockwise direction and always on the north line. The bearing of a point is the line joining the centre of the compass through the point measured in degrees in a …

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Pythagoras Theorem

Want to download the Pythagoras Theorem revision notes in PDF format? Pythagoras Theorem Consider the triangle \(ΔPMK, P = 90^{∘}\) A triangle is called a right-angled triangle if one of its angles is \(90^{∘}\). So, ΔPMK is a right-angled triangle (or rectangular triangle) with right-angle \(\angle P\). The side of the rectangular triangle, which lies …

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Triangle Intercept Theorem

If CB and DE are parallel, the ratio of CD to DA and the ratio of BE to EA are equal. In other words, CD/DA = BE/EA . This is often a useful way of solving triangle problems and can be derived from the properties of similar triangles.

Sine and Cosine Formulae

Want to download the Proportions revision notes in PDF format? Want to download the Sine and Cosine revision notes in PDF format? sin x = sin (180 – x)e.g. sin 130 = sin (180 – 130) = sin 50 cos x = -cos (180 – x) The Sine Rule:This works in any triangle:  a   …

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Sin, Cos, Tan Graphs

In any right angled triangle, for any angle: The sine of the angle = the length of the opposite sidethe length of the hypotenuse The cosine of the angle = the length of the adjacent sidethe length of the hypotenuse The tangent of the angle = the length of the opposite sidethe length of the …

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Similar Triangles

If two shapes are similar, one is an enlargement of the other. This means that the two shapes will have the same angles and their sides will be in the same proportion (e.g. the sides of one triangle will all be 3 times the sides of the other etc.). angle A = angle D angle …

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