# What is the reciprocal of tanB in the triangle below

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## Question:

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