sin²x + cos²x = 1 Explained (Mathematics)

If sin(x) = 5/13 and x is in Quadrant I, what is cos(x) as a fraction?

Direct Answer: sin²x + cos²x = 1 is defined by: 12/13. cos(x) = √(1 - sin²(x)) = √(1 - 25/169) = √(144/169) = 12/13.

Detailed Step-by-Step Explanation:

cos(x) = √(1 - sin²(x)) = √(1 - 25/169) = √(144/169) = 12/13.