(1) The minimum value of y = 2cos square x + (root sign 3) sin2x + A in [0 degree, 90 degree] is - 4. Find the value of A (2) Prove cos20cos40cos80 = 1 / 8

(1) The minimum value of y = 2cos square x + (root sign 3) sin2x + A in [0 degree, 90 degree] is - 4. Find the value of A (2) Prove cos20cos40cos80 = 1 / 8

1) Y = 2cos & sup2; X + √ 3sin2x + a = cos2x + 1 + √ 3sin2x + a = 2Sin (2x + 30 °) + A + 1 ∵ 0 °≤ x ≤ 90 °; 0 °≤ 2x ≤ 180 °; 30 °≤ 2x + 30 ° ≤ 180 ° + 30 ° in [30 °, 210 °], the minimum value of 2Sin (2x + 30 °) is - 2, and the minimum value of y = 2Sin (2x + 30 °) + A + 1 is - 4, so a + 1 = -