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

Problem

sin(θ)* given *(x,y)=(−15,8)

Solution

1. Identify the coordinates of the given point as x=−15 and y=8

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

r=√(,(−15)2+8)

r=√(,225+64)

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)=8/17

Final Answer

sin(θ)=8/17

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