1 II 2 Now consider the isosceles triangle alongside. a Find the triangle's altitude using Pythagoras. 6 Find the area of the triangle using geometry. e Find the size of 0 using right angled trigonometry. d Use your calculator to evaluate 1 x 1 x sin 0. What do you notice? 1 m 1 m 3m e Use your results from 1d and 2d to show that sin 120° = sin 60°.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
d and e only and the 1d is provided in the second picture
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