SOLUTION: Hello Tutor, I really need your help to answer this question please. 2. Solve for x: 3 + cos 2x = 7/2; only include answers on [0, 2π]

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Question 971854: Hello Tutor, I really need your help to answer this question please.
2. Solve for x: 3 + cos 2x = 7/2; only include answers on [0, 2π]

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


Clear the fraction by multiplying every term by 2



Subtract 6 from both sides:



Divide both sides by 2



Since  is positive, 2x is in QI or QIV

We want to include all but only all values of x on [0, 2π)
which is the inequality:



Since our equation involves 2x, not just x, we must multiply 
that inequality through by 2:



So all possibilities for 2x in that interval for



are



And we solve for x:



Edwn

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