Find the Sine Given the Point (40,9)

Problem

sin(θ)* given the point *(40,9)

Solution

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

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

r=√(,40+9)

3. Simplify the expression under the square root.

r=√(,1600+81)

r=√(,1681)

4. Evaluate the square root to find the value of r

r=41

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

sin(θ)=9/41

Final Answer

sin(θ)=9/41

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