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Solution 4.4:3a

From Förberedande kurs i matematik 1

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The right-hand side of the equation is a constant, so the equation is in fact a normal trigonometric equation of the type cos x=a.

In this case, we can see directly that one solution is x=6. Using the unit circle, it follows that x=26=116 is the only other solution between 0 and 2.

We obtain all solutions to the equation if we add multiples of 2 to the two solutions above:


x=6+2n and x=611+2n


where n is an arbitrary integer.