Answer :

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              [tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1