Find the Sine Given the Point (5,12)

Problem

sin(θ)* given *(5,12)

Solution

1. Identify the coordinates of the point (x,y) as x=5 and y=12

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

3. Substitute the values into the formula to find r

r=√(,5+12)

r=√(,25+144)

r=√(,169)

r=13

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

5. Substitute the known values of y and r into the ratio.

sin(θ)=12/13

Final Answer

sin(θ)=12/13

Want more problems? Check here!