Gcse Trigonometry Pythagoras Theorem

A presentation on Trigonometry, Pythagoras Theorem for GCSE mathematics

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  • Created by: t
  • Created on: 09-04-08 16:37
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Slide 1

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Gces
trigonometr
y…read more

Slide 2

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So what is it ?
It all starts with a triangle, specifically a right-angled one: A right-angle
is 90°, rather like the corner of a square.
The hypotenuse is the longest side of a right-angle triangle, found
always opposite the right angle.…read more

Slide 3

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Cos sin tan
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side
the length of the hypotenuse
The cosine of the angle = the length of the adjacent side
the length of the hypotenuse
The tangent of the angle = the length of the opposite side
the length of the adjacent side
The hypotenuse of a right angled triangle is the longest
side, which is the one opposite the right angle. The
adjacent side is the side which is between the angle in
question and the right angle. The opposite side is opposite
the angle in question.
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa…read more

Slide 4

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An example
Find the length of side x in the diagram below:
The angle is 60 degrees. We are given the
hypotenuse and need to find the adjacent
side. This formula which connects these three
is:
cos(angle) = adjacent / hypotenuse
therefore, cos60 = x / 13
therefore, x = 13 × cos60 = 6.5
therefore the length of side x is 6.5cm.…read more

Slide 5

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Pythagoras Thereom…read more

Slide 6

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Pythagoras's Theorem
In any right-angled triangle, the square of the hypotenuse is equal to
the sum of the squares of the other two sides.
i.e.: c² = a² + b² in the following diagram:…read more

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