You are watching: Secx-1/1-cosx=secx

You space right. Just by looking in ~ the an interpretation of $sec(x)$, one can plainly see that $$sec (x) = frac1cos (x)$$

But don"t just take my word because that it. Your equation itself will certainly tell friend if it"s appropriate or wrong.

$$ -sec (x) = frac1cos (x) implies -frac1cos (x) = frac1cos (x) implies large-1 =1 implies extFalse$$Now, over there is a result similar come this which is true,$$ sec (-x) = frac1cos(-x) = frac1cos(x)$$

Why did the happen? due to the fact that $ cos(-x) = cos(x)$.

Again don"t simply take mine word for it. I have the right to prove it making use of the identification $cos(A pm B) = cos(A) imescos(B) mp sin(A) imessin(B)$.$$cos(-x) = cos (0-x) = cos 0 imescos x + sin 0 imessin x = 1 imescos x + 0 imessin x = cos x$$Never confuse $sec(-x)$ through $-sec(x)$. Constantly remember that$$ sec(-x) = +sec(x) quadforall xin ememberingsomer.combbR $$

$ddotsmile$ hope this help

re-publishing

mention

monitor

edited Mar 3 "14 in ~ 22:42

answer Mar 3 "14 in ~ 22:35

NickNick

6,35899 yellow badges3939 silver badges6767 bronze title

$endgroup$

2

include a comment |

## her Answer

Thanks because that contributing response to rememberingsomer.com Stack Exchange!

Please be sure to*answer the question*. Administer details and share your research!

But *avoid* …

Use rememberingsomer.comJax to format equations. rememberingsomer.comJax reference.

To find out more, watch our advice on writing an excellent answers.

See more: Computer Voc A Mechanism That Spins, Reads, And Writes Disks

Draft saved

Draft discarded

### Sign up or log in in

authorize up making use of Google

sign up making use of Facebook

sign up utilizing Email and also Password

send

### Post as a guest

name

email Required, yet never shown

### Post together a guest

surname

Required, but never shown

short article Your answer Discard

By click “Post her Answer”, you agree come our regards to service, privacy policy and also cookie plan

## Not the price you're feather for? Browse various other questions tagged trigonometry or questioning your very own question.

The Overflow Blog

Featured top top Meta

associated

1

$ an heta=sec heta$? Test concerns

0

Why does something favor this happen to the derivative?

1

Why is $-ln(cos(x))$ same to $ln(sec(x))$?

8

$sec heta$ never amounts to $ an heta$. Or go it?!?

1

Prove: $cos^2 x (sec x - 1)(sec x + 1) = (1 - cos x)(1 + cos x)$

8

advice $sec frac2pi7+sec frac4pi7+sec frac6pi7$

3

calculate of $left(frac1cos^2x ight)^frac12$

0

Why walk the domain the $frac1;frac1cos(x);$ differ from that of $frac1sec(x)$?

hot Network concerns much more hot concerns

concern feed

i ordered it to RSS

concern feed To subscribe to this RSS feed, copy and paste this URL right into your RSS reader.

rememberingsomer.comematics

firm

ridge Exchange Network

site design / logo © 2021 ridge Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.29.40598

rememberingsomer.comematics ridge Exchange works ideal with JavaScript enabled

your privacy

By clicking “Accept all cookies”, girlfriend agree ridge Exchange can store cookie on your maker and disclose information in accordance v our Cookie Policy.