Question

Deduce the identity of : (tanA)(cotA)

A 0
B 90
C 1
D 45

Answer 1

Answer on Question #51809 – Math – Trigonometry

Deduce the identity of $\left(\tan A\right)\left(\cot A\right)$ .

Solution

We know that

$$\tan A = \frac {\sin A}{\cos A}; \quad \cot A = \frac {\cos A}{\sin A}.$$

Hence

$$\left(\tan A\right) \left(\cot A\right) = \frac {\sin A}{\cos A} \cdot \frac {\cos A}{\sin A} = 1$$

Answer: 1.

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