Homework SourseVerify that the following equation is an identity 1 tanx s
Verify that the following equation is an identity: -1 / tan(x) - sec(x) = 1 + sin(x) / cos (x)
Solution
-1 / tan(x) - sec(x) = -1/[sin(x)/cos(x) - 1/cos(x)]
= - cos(x)/[sin(x) - 1]
= cos(x)[1 + sin(x)]/[1 - sin(x)][1+ sin(x)]
= cos(x)[1 + sin(x)]/cos2(x)
= [1 + sin(x)]/cos(x)
proved....
![Verify that the following equation is an identity: -1 / tan(x) - sec(x) = 1 + sin(x) / cos (x)Solution-1 / tan(x) - sec(x) = -1/[sin(x)/cos(x) - 1/cos(x)] = - c](/WebImages/8/verify-that-the-following-equation-is-an-identity-1-tanx-s-993863-1761511371-0.webp "Verify that the following equation is an identity: -1 / tan(x) - sec(x) = 1 + sin(x) / cos (x)Solution-1 / tan(x) - sec(x) = -1/[sin(x)/cos(x) - 1/cos(x)] = - c")
