Find the Sine Given the Point (-4,3)

Problem

sin(θ)* given *(x,y)=(−4,3)

Solution

1. Identify the coordinates of the given point as x=−4 and y=3

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

3. Substitute the values into the formula: r=√(,(−4)2+3)=√(,16+9)=√(,25)=5

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

5. Substitute the known values y=3 and r=5 into the ratio.

Final Answer

sin(θ)=3/5

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