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Solution 4.4:3d

From Förberedande kurs i matematik 1

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First, we observe from the unit circle that the equation has two solutions for 03x360,

3x=15and3x=18015=165.

This means that all of the equation's solutions are

3x=15+n360and3x=165+n360

for all integers n, i.e.

x=5+n120andx=55+n120.