If sec0 = 25/24 find cot0

cot θ = 24/7

Step-by-step explanation:

This will be difficult to explain without a diagram, but let's proceed.

Since sec θ = 25/24 (secant θ is equal to hypotenuse/adjacent) the hypotenuse of the triangle is 25 and the side adjacent to θ will be equal to 24. To find the opposite side-length you can use the Pythagorean theorem.

25^2 = 24^2 + a^2 (You can use either a or b as the variable)

625 = 576 + a^2 (Subtract 576 from each side)

a^2 = 49

a = 7 (The sqrt of 49 is 7 | This is the side-length of the opposite side relative to θ)

Since cotangent is always adjacent/opposite:

cot θ = 24/7