What is the reciprocal of tanB in the triangle below

In trigonometry, the reciprocal of the function "tangent" is cotangent. If in the figure, tan B is given, then we can solve for the reciprocal of the angle. If tan B = 3/2 and the triangle is a right triangle, we can use the Pythagorean theorem mixed with trigonometric identities:

tan B = 3/2

tan B = opposite / adjacent

opposite = 3

adjacent = 2

therefore, cot B = adjacent / opposite

then,

cot B = 2/3.

We can only use this solution if the given triangle is a right triangle, if not, we may have to explore other solutions.