Question
5. (1 point) The point P(3,-5) is on the terminal arm of angle D Which is the exact sin ratio for this angle? a. (sqrt (34))/(-5) b. (3)/(sqrt (34)) c. (5)/(sqrt (34)) d. (-5)/(sqrt (34))
Solution
4.2
(175 Votes)
Judith
Elite ยท Tutor for 8 years
Answer
### d.
Explanation
## Step 1: Calculate the hypotenuse### The point
forms a right triangle with the x-axis. The legs of the triangle have lengths 3 and 5. We use the Pythagorean theorem (
) to find the hypotenuse:
, so
, thus
, and
.## Step 2: Calculate the sine ratio### The sine ratio is defined as
. In this case, the opposite side is -5 (the y-coordinate) and the hypotenuse is
. Therefore,
.