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Trigonometry Problem

akon1234
in Homework Help

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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

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.

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...

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