If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same angle is a/b where a and b are not zero?

Question

Mathematics

Rhett Rivera

21 June, 09:33

If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same angle is a/b where a and b are not zero?

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Answers (1)

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Brenna Arnold · Answer 1

The cotangent of the angle will be b/a

Step-by-step explanation:

Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,

then the cotangent will be the reciprocal of the value of the tangent

= 1 / (a/b)

= 1 x (b/a)

= b/a