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crysderria
09.10.2019 •
Mathematics
The point p(x, y) is on the terminal ray of angle theta. if theta is between pi radians and 3pi/2 radians and csc theta= -5/2, what are the coordinates of p(x, y)?
a. p(-sqr 21, -2)
b. p(sqr 21, -2)
c. p(-2, sqr 21)
d. p(-2, -sqr 21)
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Ответ:
sin(x) = opposite side / hypotenuse
If the opposite side measures 2 [this is the y-component, except for the sign]
hypotenuse measures 5, and the adyacent side is √(5^2 - 2^2) = √(25 - 4) = √21 [this is the x-component, except for the sign].
To assign the sign, we know that the quadrant between pi radians and 3Pi/2 radians is the third quadrant, where both the x-component and the y-component are negative.
Then the point is (-√21,-2). This is option A.
Ответ: