Answer:
Explanation:
I'm sorry, but there seems to be some information missing from your question. Specifically, it is unclear what quantity or angle you want to determine the cosine of.
If you meant to ask for the value of the cosine of an angle given that its sine is 3/4, then we can use the Pythagorean identity to determine the cosine:
sin^2(x) + cos^2(x) = 1
Plugging in sin(x) = 3/4, we get:
(3/4)^2 + cos^2(x) = 1
Simplifying, we have:
9/16 + cos^2(x) = 1
Subtracting 9/16 from both sides, we get:
cos^2(x) = 7/16
Taking the square root of both sides, we get:
cos(x) = ±sqrt(7)/4
Since the sine is positive (3/4 is in the first quadrant), we know that the cosine must also be positive. Therefore:
cos(x) = sqrt(7)/4
I hope this helps! Let me know if you have any further questions.