joseroblesrivera123
17.09.2019 •
Mathematics
The function y=sin(t) oscillates between a minimum value of y=−1 and a maximum value of y=1. multiplying this function by a number a changes the minimum and maximum values, increasing the magnitudes if a> 1 and decreasing the magnitudes if a< 1. part a give the minimum and maximum values of the function y=3sin(t). give the minimum value followed by the maximum value, separated by a comma.
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Ответ:
For additional information:
The period T of the function y=3sin(4t) is;
The period of y = 3 sin (4t) is (2pi) / 4 = pi / 2
The sine function with amplitude A = 0.75 and period T = 10, is
y = 0.75 sin( (2pi / 10) x )
= 0.75 sin( (pi/5) t)
y(4) = 0.75 sin( (pi/5) (4) )
= 0.75 sin ( (4/5) pi ) = .4408
Drawing the sine and cosine function on the same plot shows
that they are identical except for a horizontal shift.
The cosine
function leads the sine function by a shift of (2pi/4) = pi/2.
For the last part, y(4) = 0.75 cos( (2pi/10) (4) ) = - 0.6067
Ответ:
one key difference is that in constructing a square, you have to construct a perpendicular bisector but when constructing a hexagon, you do not have to construct a perpendicular bisector. one similarity is that both constructions rely on the radius/diameter.