Question 1161054
Each point lies on the terminal arm of an angle. Determine the six trigonometric ratios for the angle, rounded to four decimal places. 
a) A(5, 12) 
b) B(4, 3)
d) D(7, 24)
<pre>Just 1 needs to be done, so you can follow it and do the remaining 2. 
a) (5, 12) indicates (x, y), so x = 5; y = 12
This represents a 5-12-13 PYTHAG. TRIPLE, which means that r = 13.
Trigonometric Ratios: {{{highlight_green(matrix(6,5, sin (theta), "=", O/H, "=", y/r, cos (theta), "=", A/H, "=", x/r, tan (theta), "=",  O/A, "=", y/x, csc (theta), "=", H/O, "=", r/y, sec (theta), "=",  H/A, "=", r/x, cot (theta), "=",  A/O, "=", x/y))}}}
Just substitute the 3 variables.
b) and d) are ALSO PYTHAGOREAN TRIPLES.
FYI: Always present TRIG. functions as exact values, unless asked to do otherwise. 
And, never, never present them as the other person did. For most of these problems, she has no clue!