What is the reciprocal of tanb in the triangle below

The reciprocal of tanB is cotB which the ratio of the adjacent side and the opposite side.

In a right angle triangle tangent is the ratio of the opposite side to the adjacent side.Suppose a right angle triangle having sides adjacent a , opposite b and the hypotenuse b. Hence by the rules of trigonometry, we get,

As it is known that the cotangent is the reciprocal of the tangent. Therefore,

As the raciprocal of tanB is cot B. Therefore value of the raciprocal of tanB is,

Hence, the reciprocal of tanB is cotB which the ratio of the adjacent side and the opposite side.

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