akon1234 Posted May 30, 2011 Share Posted May 30, 2011 What is the number of integral values of k for which the equation 7cosx+5sinx=2k+1 has a solution ? The answer in my book is:8 Link to comment Share on other sites More sharing options...
Bignose Posted May 30, 2011 Share Posted May 30, 2011 akon, this forum doesn't just do problems for people, but we will help people work through them, point out mistakes where they happen, and point people in the right direction. So, what have you tried to answer this question on your own -- post what work you've done to try to answer this question yourself first. Link to comment Share on other sites More sharing options...
AlphaSheeppig Posted May 31, 2011 Share Posted May 31, 2011 Yup, the answer is 8. How far did you get with trying to work it out? Consider that the left hand side, being made up of sin and cos, will oscillate between some maximum and minimum values... Link to comment Share on other sites More sharing options...
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