If the function f (x) = asin (Wx +) (a > 0, w > 0), the absolute value of ψ is less than π / 2, a segment of image passes through the point (0,1) And passing point (- π / 12,0), (5 π / 12,0), (11 π / 12,0) (1) Finding the analytic expression of function (2) The image of the function y = f (x) is shifted to the right by π / 4 units, and the image of the function y = g (x) is obtained. The maximum value of y = g (x) is calculated, and the value set of the independent variables at this time is obtained

If the function f (x) = asin (Wx +) (a > 0, w > 0), the absolute value of ψ is less than π / 2, a segment of image passes through the point (0,1) And passing point (- π / 12,0), (5 π / 12,0), (11 π / 12,0) (1) Finding the analytic expression of function (2) The image of the function y = f (x) is shifted to the right by π / 4 units, and the image of the function y = g (x) is obtained. The maximum value of y = g (x) is calculated, and the value set of the independent variables at this time is obtained


It is necessary that (- π / 12,0), (5 π / 12,0), (11 π / 12,0) are the three adjacent zeros of F (x), otherwise there is no solution to this problem. From these three adjacent zeros, we can get t = 11 π / 12 - (- π / 12) = π = 2 π / W, that is, w = 2, and then (0,1) is after the point (- π / 12,0), so (- π / 12, As the first zero point, we have to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a sense to have a set set set a collection to be a collection of the collection of the collection of the collection of the collection of the collection of the collection of {{\\\\\\\\\\π / 12, K ∈ Z}



The intersection of the image and the function f (x) = asin (Wx + b) (a is greater than 0, W is greater than 0, and the absolute value of B is less than π / 2) is (0,1), and it is on the right side of the y-axis
The first maximum point and the minimum point of are (x0,2) (x0, - 2)
1. Find the analytic expression of function f (x) and the value of x0


1) According to the cosine formula of sum, we can get cos (π / 4) CoSb sin (π / 4) SINB = cos (π / 4 + b) = 0 and | B | π / 2, so π / 4 + B = π / 2, so B = π / 4. (2) in this case, f (x) = sin (Wx + π / 4) whose axis of symmetry satisfies Wx + π / 4 = k π + π / 2, K ∈ Z, so the axis of symmetry is x = (K / W) π + 1 / (4W) π



(tan20 degrees - radical 3) divided by sin20 degrees


(tan20°-√3)/sin20°=tan20°/sin20°-√3/sin20°=1/cos20°-√3/sin20°=(sin20°-√3cos20°)/(sin20°cos20°)=4(1/2sin20°-√3/2cos20°)/(2sin20°cos20°)=4sin(-40°)/sin40°=-4...