Recent content by quantumphysic

pi/4 gives equal values for sine and cosine... however, how do we know there isn't a value that's higher? i think there may be a more rigorous proof... e.g. on another similar problem i could obtain a quadratic equation containing f(x) in a constant term (by squaring function) and getting...

how does that work?

i'm getting f(x) = cosx(1+sinx) ok i got min value = 0 (the problem says 0 <= x <= pi/2) how do we get the max value of the product?

Homework Statement f(x) = (1/2)sin2x + cosx Find f^2 min +f^2 max = ? Homework Equations Differentiation not allowed... only by transformations and analysis. 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...