Find the Sine Given the Point (4,3)

Problem

Find *sin(θ)* given the point *(4,3)

Solution

1. Identify the coordinates of the given point (x,y) where x=4 and y=3

2. Calculate the distance r from the origin to the point using the Pythagorean theorem formula r=√(,x2+y2)

r=√(,4+3)

r=√(,16+9)

r=√(,25)

r=5

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

sin(θ)=3/5

Final Answer

sin(θ)=3/5

Want more problems? Check here!