Question

Verify Identities:
sec²a=1/1-sin²a​

Answer 1

Answer: see proof below

Step-by-step explanation:

`sec^2\alpha=(1)/(1-\sin^2 \alpha)`

LHS → RHS

`sec^2\alpha\qquad \text{Given}\\\\(1)/(cos^2\alpha)\qquad \text{sec is reciprocal of cos}\\\\\\(1)/(1-sin^2\alpha)\qquad \text{Identity}:cos^2\alpha + sin^2\alpha = 1\\\\\\(1)/(1-sin^2\alpha)=(1)/(1-sin^2\alpha)\quad \checkmark`