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Solution 4.4:2f

Revision as of 08:57, 1 October 2008 by Ian (Talk | contribs)

Using the unit circle shows that the equation cos 3x=−12 has two solutions for 03x2,

3x=2+4=43 and 3x=+4=45

We obtain the other solutions by adding multiples of 2,

3x=43+2n and 3x=45+2n

i.e.

x=4+32n and x=125+32n

where n is an arbitrary integer.