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24 January, 04:44

What is the reciprocal of tanB in the triangle below

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  1. 24 January, 04:59
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    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.
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