The known function f (x) = 3-4asinxcosx + 4cos & sup2; x-4 (cosx) ^ 4 1. If a = 1, find the maximum and minimum of F (x) 2. If the minimum value of function f (x) is 1, find the value of A

The known function f (x) = 3-4asinxcosx + 4cos & sup2; x-4 (cosx) ^ 4 1. If a = 1, find the maximum and minimum of F (x) 2. If the minimum value of function f (x) is 1, find the value of A

1、
a=1
f(x)=3-4sinxcosx+4cos²x(1-cos²x)
=3-4sinxcosx+4sin²xcos²x
=3-2sin2x+sin²2x
=(sin2x-1)²+2
-1