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Solution 4.4:3c

From Förberedande kurs i matematik 1

Revision as of 09:50, 1 October 2008 by Ian (Talk | contribs)
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If we consider the entire expression x+40 as an unknown, we have a fundamental trigonometric equation and can, with the aid of the unit circle, see that there are two solutions to the equation for 0x+40360 namely x+40=65 and the symmetric solution x+40=180−65=115.


It is then easy to set up the general solution by adding multiples of 360,


x+40=65+n360 and x+40=115+n360


for all integers n, which gives


x=25+n360 and x=75+n360

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