Find the Sine Given the Point (7,24)

Problem

sin(θ)* given *(7,24)

Solution

1. Identify the coordinates of the given point (x,y) where x=7 and y=24

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

r=√(,7+24)

r=√(,49+576)

r=√(,625)

r=25

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

sin(θ)=24/25

Final Answer

sin(θ)=24/25

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