Find the Sine Given the Point (4,-3)

Problem

sin(θ)* given *(x,y)=(4,−3)

Solution

1. Identify the coordinates of the given point as x=4 and y=−3

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

r=√(,4+(−3)2)

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!