Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)
![Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha) class=](https://us-static.z-dn.net/files/d6a/69363d37fd22ea8d406a301ca7249e2a.png)
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