The sine of angle A can be written as sin A and

sin A equals the ratio (y/r) = (4)/(5) when point D is (x,y) = (3,4) and r = AD = 5.

When angle A is in standard position at the origin, the sine ratio of A is (y coordinate)/(radius) = (4)/(5).

Using the Pythagorean Theorem, radius r=5 can be calculated from point D(3,4) as 3

- When angle A is in standard position at the graph's origin (0,0) then sin A equals (y/r).

Since r is the hypotenuse of a right triangle, r can be found from point D(x,y) using x

Consequently, sin A can also be described as (opposite side)/(hypotenuse).

sin(A) = o/h = y/r .

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