Question

Help me fast ( prove it) class 8

Answer 1

Answer:

see explanation

Step-by-step explanation:

Consider the left side

$\frac{cosA}{1-sinA}$ + $\frac{cosA}{1+sinA}$

= $\frac{cosA(1+sinA)+cosA(1-sinA)}{(1-sinA)(1+sinA)}$

= $\frac{cosA+cosAsinA+cosA-cosAsinA}{1-sin^2A}$

= $\frac{2cosA}{cos^2A}$ ← cancel cosA on numerator/ denominator

= 2 × $\frac{1}{cosA}$

= 2secA

= right side, thus proven