A right triangle has one acute angle measuring 36.9°. The length of the side adjacent to the angle is 4 units, and the length of the side opposite this angle is 3 units. The length of the hypotenuse is 5 units. What is the sine ratio if the 36.9° angle?

positive

step-by-step explanation:

the quadrant is facing upwards

is there a picture

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for