Find the Sine Given the Point (12,5)

Problem

sin(θ)* given *(x,y)=(12,5)

Solution

1. Identify the coordinates of the given point, where x=12 and y=5

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

r=√(,12+5)

r=√(,144+25)

r=√(,169)

r=13

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

sin(θ)=5/13

Final Answer

sin(θ)=5/13

Want more problems? Check here!