Question

. Evaluale me 100wing expressi
D. Prove the following identity:
1 + sin A
V1-sin A = sec A + tan A​

Answer 1

Answer:

$take \: l.h.s \\ \sqrt{ \frac{1 + \sin \: a }{ 1 - sina} } \\ \\ \sqrt{ \frac{1 + sina}{1 - sina} \times \frac{1 + sina}{1 + sina} } \\ \\ \sqrt{ \frac{ {(1 + sina)}^{2} }{ {cos}^{2}a } } \\ \\ \frac{1 + sina}{cosa} \\ \\ \frac{1}{cosa} + \frac{sina}{cosa} = seca + tana \\ \\ hence \: r.h.s = l.h.s$