Question

Help me fast ( prove it) class 8

Answer 1

see explanation

Explanation:

Consider the left side

`(cosA)/(1-sinA)` +
`(cosA)/(1+sinA)`

=
`(cosA(1+sinA)+cosA(1-sinA))/((1-sinA)(1+sinA))`

=
`(cosA+cosAsinA+cosA-cosAsinA)/(1-sin^2A)`

=
`(2cosA)/(cos^2A)` ← cancel cosA on numerator/ denominator

= 2 ×
`(1)/(cosA)`

= 2secA

= right side, thus proven