Question

Prove that sin²a + cos²a = 1 and = le="\frac{1}{cos^{2}a }" alt="\frac{1}{cos^{2}a }" align="absmiddle" class="latex-formula"> + tan²a (a not alpha)

Answer 1

Answer:

$\frac{1}{cos^2a }= tan^2 a$

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              $\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}$

= tan²a + 1