The known function f (x) = 2acos ^ 2x + bsinxcosx (a > 0, b > 0) f (x) has a maximum of 1 + A and a minimum of - 1 / 2 1. The minimum positive period of F (x) 2. The monotone increasing interval of F (x)

The known function f (x) = 2acos ^ 2x + bsinxcosx (a > 0, b > 0) f (x) has a maximum of 1 + A and a minimum of - 1 / 2 1. The minimum positive period of F (x) 2. The monotone increasing interval of F (x)

The minimum positive period of the function f (x) = ACOS (ω x + φ) is?

The minimum positive period of F (x) = ACOS (ω x + φ) is 2 Π / |ω|

Let f (x) = sin2x + ACOS ^ 2x, a be a constant, a ∈ R, and x = π / 4 be the solution of the equation f (x) = 0. (1) find the minimum positive period of F (x);
(2) When x ∈ [0, π / 2], find the range of F (x)
The function is f (x) = sin2x + a (COS ^ 2) X

Since x = π / 4 is the solution of the equation f (x) = 0, sin π / 2 + ACOS & # 178; π / 4 = 0, we obtain a = - 2  f (x) = sin2x-2cos & # 178; X = sin2x - (cos2x + 1) = sin2x-cos2x-1 = √ 2Sin (2x - π / 4) - 1  (1) the minimum positive period of function f (x) is 2 π / 2 = π. (2) when x ∈ [0, π / 2], 2x - π /