Find the Sine Given the Point (9,40)

Problem

sin(θ)* given *(9,40)

Solution

1. Identify the coordinates of the given point (x,y) where x=9 and y=40

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

r=√(,9+40)

r=√(,81+1600)

r=√(,1681)

r=41

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

sin(θ)=40/41

Final Answer

sin(θ)=40/41

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