14-03-2018
Mathematics

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The range of [tex]y= \frac{4}{5} sinx[/tex] for [tex] \pi \leq x \leq \frac{3 \pi }{2} [/tex] is _____.

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Blitztiger Blitztiger

14-03-2018

The given range for x is within the third quadrant (180 to 270 degrees). In this quadrant, sine has a negative value. Specifically, -1 <= sinx <= 0. So if we multiply by the factor of 4/5 as given:
-4/5 <= (4/5)sinx <= 0

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