Sep 15, 2015 · sec alpha=1/cos alpha This comes straight from the definition. Secans is defined as inverse of cosine.

Feb 18, 2018 · Sec and Cos are even functions, meaning they have y-axis symmetry Tan, Cot, Sin, Csc are odd functions, meaning that they have origin symmetry and f(-x) in this case is …

Jun 5, 2016 · To find the derivative of secant, we could either use the limit definition of the derivative (which would take a very long time) or the definition of secant itself:

Mar 7, 2018 · Define the function: # f(x)=secx # Using the limit definition of the derivative, we have: # f'(x) = lim_(h rarr 0) (f(x+h)-f(x))/h #

Jun 2, 2015 · We know that sec x = 1/cos x (Reciprocal identity) We also know that cosx = sin(pi/2-x) = sqrt(1-sin^2x) (Cofunction identity and Pythagorean identity.)

Jan 26, 2017 · see below Use the identity: sec x=1/cos x 1/secx=1/(1/cosx)=1*cosx/1=cos x

Sep 25, 2014 · The vertical asymptotes of y=secx are x={(2n+1)pi}/2, where n is any integer, which look like this (in red). Let us look at some details. y=secx=1/{cosx} In order to have a …

Sep 7, 2015 · Using the Pythagorean identity: tan^2x = sec^2x - 1 This is an application of the Pythagorean identities, namely: 1 + tan^2x = sec^2x This can be derived from the standard …

Aug 8, 2018 · sec(tan^(-1)(x))=sqrt(x^2+1) sec(tan^(-1)(x)) let y=tan^(-1)(x) x=tan(y) x=sin(y)/cos(y) x^2=sin(y)^2/cos(y)^2 x^2+1=(cancel(cos(y)^2+sin(y)^2)^(=1))/cos(y)^2 x^2+1 ...

Aug 30, 2016 · tan x. The Exp.=sec x/csc x =(1/cos x)/(1/sin x) =sin x/cos x =tan x.