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Find the Sine Given the Point (0,1)

Problem

sin(θ)* given the point *(0,1)

Solution

  1. Identify the coordinates of the given point (x,y) as x=0 and y=1

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

r=√(,0+1)

r=√(,1)

r=1

  1. Apply the formula for the sine function in terms of coordinates, which is sin(θ)=y/r

sin(θ)=1/1

  1. Simplify the fraction to find the final value.

sin(θ)=1

Final Answer

sin(θ)=1


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