Question

complete the following activity to prove 1/1+sin + 1 /1- sin = 2sec²​

Answer 1

Step-by-step explanation:

1/1+sin + 1/1-sin = 2sec^2

L.H.S

= 1/1+sin + 1/1-sin

= 1 - sin + 1 + sin/ ( 1+sin) ( 1-sin)

= 2/1 - sin^2

= 2/cos^2

= 2 * 1/cos^2

= 2* sec^2

= 2sec^2 = R.H.S ( Proved )