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Solution 4.4:2b

From Förberedande kurs i matematik 1

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The equation cosx=12 has the solution x=3 in the first quadrant, and the symmetric solution x=23=53 in the fourth quadrant.

If we add multiples of 2 to these two solutions, we obtain all the solutions

x=3+2nandx=35+2n

where n is an arbitrary integer.