Question

How do you prove `(secx+tanx)((1-sinx)/cosx)=1`?

Answer 1

As proved below.

Explanation:

We will use some of the above identities to prove the sum.

`"To prove " (sec x = tan x) ((1 - sin x)/cos x)= 1`

`L H S = (1/cos x + sin x / cos x) ((1 - sin x) / cos x)`

`=> ((1 + sin x) (1 - sin x)) / cos^2 x`

`=> (1 - sin^2 x) / ( 1 - sin ^2 x) = 1 = R H S`