Find the Sine Given the Point (-8,-15)

Problem

sin(θ)* given the point *(−8,−15)

Solution

1. Identify the coordinates of the given point (x,y) where x=−8 and y=−15

2. Calculate the radius r using the distance formula r=√(,x2+y2)

r=√(,(−8)2+(−15)2)

r=√(,64+225)

r=√(,289)

r=17

3. Apply the formula for the sine of an angle in standard position, which is sin(θ)=y/r

sin(θ)=(−15)/17

Final Answer

sin(θ)=−15/17

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