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

1 Answer
sankarankalyanam
Jun 26, 2018

As proved below.

Explanation:

![https://www.onlinemathlearning.com/http://trigonometric-identities.html](https://useruploads.socratic.org/eomfQ3o4Tlq9g1LWV1Jx_trigonometric%20identities.png)

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

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