Question

Is sinx cosx ever equal to 1?

Answer 1

\[\sin(x)\times\cos(x)≠1\]

Answer 2

to get a product equal to one , either both must be 1 or one is less than 1 and the other greater,
sine and cosine are always ≤1

Answer 3

let us suppose sin(x)cos(x) = 1
then, 2 sin(x) cos(x) = 2
sin(2x) = 2

since ... sine of any value is not greater than 1, our assumption must be wrong