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lisabon 2012 [21]
3 years ago
11

Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

Mathematics
2 answers:
White raven [17]3 years ago
8 0
Terminal side of the position is (5,3)
zloy xaker [14]3 years ago
7 0
First we imagine triangle. Triangle vertices are: xy coordinate center, point (4,3) and projection of that point on x axis (x = 4). Because angle is in standard position, just from knowing (4,3) coordinates we know 2 of triangle sides and we can find its hypotenuse which will be marked as "h":

h= \sqrt{ 3^{2} + 4^{2} } =5

Now the sinq is:

sinq = 3/5   because of definition of sin.

sin = opposite side of triangle/hypotenuse.

answer is 3/5
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