Question

√1-cos^2A · sec^2A= tanA​

Answer 1

Step-by-step explanation:

$\sqrt{(1 - { \cos}^{2} A) \: \: { \sec}^{2} A} \\ \\ = \sqrt{{ \sin}^{2} A \: \: { \sec}^{2} A} \\ \\ = \sin \: A \: \: \sec \: A \: \: \\ \\ \sin \: A \times \frac{1}{ \cos \: A} \\ \\ = \frac{\sin \: A}{ \cos \: A} \\ \\ = \tan\: A \\ \\ thus \: proved$