Question

Question 1
Write ‘True’ or ‘False’ and justify your answer in each of the following:
$\frac{tan{47}^{\circ }}{cot{43}^{\circ }}=1$

Answer 1

The statement is true.
$\frac{tan{47}^{\circ }}{cot{43}^{\circ }}=\frac{tan({90}^{\circ }-{43}^{\circ })}{cot{43}^{\circ }}=\frac{cot{43}^{\circ }}{cot{43}^{\circ }}=1$ $\lfloor \because tan({90}^{\circ }-\theta )=cot\theta \rfloor$