Past Papers’ Solutions  Cambridge International Examinations (CIE)  AS & A level  Mathematics 9709  Pure Mathematics 2 (P29709/02)  Year 2003  MayJun  (P29709/02)  Q#4
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Question
i. Show that the equation
Can be written in the form
ii. Hence solve the equation to
For
Solution
i.
We are given;
We apply following two addition formulae on both sides of given equation.
Therefore;
Since;
ii.
We are required to solve following equation doe
We have found in (i) that it can be written as;
Let
Now we have two options.






Since




Using calculator we can find that 



Properties of 

Domain 

Range 

Periodicity 



Odd/Even 

Translation/ Symmetry 


We utilize the periodicity/symmetry property of
Therefore;
For








For








Only following solutions (roots) are within the given interval




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