Find the Sine Given the Point (24,-7)

Problem

sin(θ)* given *(x,y)=(24,−7)

Solution

1. Identify the coordinates of the given point, where x=24 and y=−7

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

3. Substitute the values into the formula: r=√(,24+(−7)2)=√(,576+49)=√(,625)=25

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 to find the final ratio.

Final Answer

sin(θ)=−7/25

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