Find the Sine Given the Point (21,28)

Problem

sin(θ)* given *(x,y)=(21,28)

Solution

1. Identify the coordinates of the given point as x=21 and y=28

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

r=√(,21+28)

r=√(,441+784)

r=√(,1225)

r=35

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

sin(θ)=28/35

4. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 7

sin(θ)=4/5

Final Answer

sin(θ)=4/5

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