Let f (x) = sin (Wx + α), where w > 0, | α| | Math enthusiast | Mathematical art

Let f (x) = sin (Wx + α), where w > 0, | α|

Let f (x) = sin (Wx + α), where w > 0, | α | 0, | a | sin π / 4cosa cos π / 4sina = 0
==>Sin (π / 4-A) = 0 = = > A1 = π / 4, A2 = - 3 π / 4 (rounding)
(2) Analytic: ∵ function f (x) = sin (Wx + π / 4). For any real number k, function f (x) has a maximum and a minimum in the interval (k, K + π / 3)
The initial phase of the function f (x) is π / 4. When x changes from 0, it is on the rising edge, that is, f (x) increases, and the nearest value to y axis is the maximum value; the difference between two adjacent maximum values is t / 2
Starting from 0, the minimum point of the first period is less than π / 3
f(x)=sin(wx+π/4)=-1==>wx+π/4=3π/2==>x=5π/(4w)
Let 5 π / (4W) w > = 15 / 4
Starting from 0, the maximum point of the second period is greater than π / 3
f(x)= sin(wx+π/4)=1==>wx+π/4=2kπ+π/2==>x=2kπ/w+π/(4w)
Let 2 π / W + π / (4W) > π / 3 = > W

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