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xMABRYx1991
29.09.2019 •
Mathematics
Which expression is equivalent to sin(1.8x) sin(0.5x)? 0.5[sin(2.3x) + sin(1.3x)] 0.5[sin(2.3x) − sin(1.3x)] 0.5[cos(1.3x) − cos(2.3x)] 0.5[cos(2.3x) − cos(1.3x)]?
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Ответ:
(sinA)(sinB) = 0.5(cos (A -B) - cos (A + B))
In this item, our A and B are 1.8x and 0.5x, respectively.
Substituting,
sin(1.8x)sin(0.5x) = 0.5(cos (1.8x - 0.5x) - cos(1.8x + 0.5x))
sin(1.8x)sin(0.5x) = 0.5(cos 1.3x - cos 2.3 x)
Ответ:
Solve for a x-a=0
x=a
Solve for b x+b=0
x=-b