If secant theta equals 25/24 find cotangent theta

First we have to find the measurement of the missing leg because cotangent of an angle is the adjacent leg divided by the opposite leg. We do this by using Pythagorean Theorem. Let x = missing leg.

x² + 24² = 25²

x² + 576 = 625

x² = 625 - 576

x² = 49

x = 7

Our leg opposite of θ is 7 units long.

Secant is the hypotenuse divided by the adjacent leg. So if sec θ = 25/24, our adjacent leg is 24 units long.

Going back to what I said, cotangent is adjacent over opposite; which means cotangent of θ = 24/7 or ≈ 3.43