SOLUTION: Hello, consider the function {{{f(x)=(5/2)cos(2x-(pi/2))}}}. For what values of k will the equation f(x)=k have no solutions?

Algebra ->  Trigonometry-basics -> SOLUTION: Hello, consider the function {{{f(x)=(5/2)cos(2x-(pi/2))}}}. For what values of k will the equation f(x)=k have no solutions?      Log On


   

Question 979655: Hello, consider the function f%28x%29=%285%2F2%29cos%282x-%28pi%2F2%29%29. For what values of k will the equation f(x)=k have no solutions?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!

For  abs%28k%29 > 5%2F2  the given equation has no solutions     ( for  k > 5%2F2  and for  k < -5%2F2 ).

For all other values of  k  the equation has at least one solution.