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**1. Homework Statement**

[tex] f(x) = (1/2)sin2x + cosx [/tex]

Find

[tex] f^2 min +f^2 max = ? [/tex]

**2. Homework Equations**

Differentiation not allowed... only by transformations and analysis.

**3. The Attempt at a Solution**

I am confused by what it means by f^2 min +f^2 max... does it imply we have to find max and min values seperately, square them and add them? Or does this formulation imply we can directly get the required value?

Do we have to square the function before investigating it?