TIME SENSITIVE The range of y= (4)/(5) sinx for \pi \leq x \leq (3 \pi )/(2) is _____.

Question

TIME SENSITIVE

The range of
`y= (4)/(5) sinx` for
`\pi \leq x \leq (3 \pi )/(2)` is _____.

Answer 1

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