Question

Prove that :-

CosecA÷cotA +tanA
= Cos A​

Answer 1

Sol:L.H.S=

$sol= \frac{coseca}{cota + tana } \\ = \frac{1}{sina } \div (\frac{cosa}{sina } + \frac{sina}{cosa} )$

$\frac{1}{sina} \div \frac{( {cos}^{2} a + sin ^{2} a)}{sinacosa}$

$\frac{1}{sina} \div \frac{1}{sinacosa}$

$\frac{1}{sina} \times sinacosa$

cosa

hope it helps you