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Trigonometry: what is it, and how do I do it?

Trigonometry is used in maths to find angles and the lengths of edges in triangles. There are three main operations: sin, cos and tan, and these are used to convert the information you have about a triangle,...
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Answered by Amy R. • Maths tutor
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what is the Pythagoras theorem?

The pythagoras theorem is the rule used to work out the length of side of a right angle triangle with one length mising and two known lengths of side. The rule states that a 2 = b 2 +c 2 . "a" repr...
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Answered by Joseph K. • Maths tutor
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A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates where the line crosses the x and y axes

m=3 y1=1 x1=2 y-y1=m(x-x1) y-1=3(x-2) y-1=3x-6 y=3x-5 at the x-axis, y=0. Sub in to find the x co-ordinate: 0=3x-5 x=5/3. Hence the co-ordinates at which the line crosses the x axis are (5/3,0) at the y-axis...
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Answered by Anna C. • Maths tutor
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How do I multiply mixed numbers?

Let's use the example of (2+3/4) x (1+5/7) The first step when given a question about mixed numbers is to turn them into top-heavy or improper fractions, so that the maths is easier. In the case of 2 + 3/4, ...
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Answered by Natasha T. • Maths tutor
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ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?

We first split ABC into two right-angled triangles. We name the midpoint of AC, M. AM=1cm, and BM=sqrt(5 2 -3 2 )=4 by Pythagoras. The area of ABC =1/2 AC BM=1/2 6 4=12. We can see that the side lengths of D...
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Answered by Peter G. • Maths tutor
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