Question

What is cotangent?

Answer 1

Hint: As we know that the above given term is related to trigonometry. And the term Cotangent is a trigonometric ratio. We know that trigonometry is a branch of mathematics which is basically related to the calculation of specific functions of angles, their applications and how to calculate them with their rules, identities and formulas.

Complete answer:
We know that the trigonometric functions or ratios are real functions which are related to an angle of a right angled triangle. As we know that there are six basic trigonometric ratios of any triangle, they are named as sine $ (\sin ) $ , Cosine $ (\cos ) $ , Tangent $ (\tan ) $ , Cosecant $ (\cos ec) $ , Secant $ (\sec ) $ and Cotangent $ (\cot ) $ . Cotangent is normally pronounced as $ \cot \theta $ .
We know that the domain of $ \cot \theta $ is $ R - \{ n\pi ,n \in 1\} $ . Same as there are different ranges and values of all trigonometric functions.

Note: We should be fully aware of the trigonometric functions, ratios, their identities and formula to solve the question related to trigonometric ratios. We should know that $ \cot \theta $ can be written as $ \dfrac{1}{{\tan \theta }} $ and there is also another way to write it i.e. $ \dfrac{{\cos \theta }}{{\sin \theta }} $ . It should also be noted that the signs of the trigonometric functions play an important role in their formulas, as the sign changes with the change in the quadrant with all the trigonometric ratios.