The Student Room Group

Reply 1

1/sec(x) = 1/[1/cos(x)] = cos(x)

Reply 2

sec x is the inverse of cos x, so is 1/(cos x)

so thereforce the inverse of sec x has to be cos x

Reply 3

he means does arcsecx = 1/arccosx

graphmatica says no.

Reply 4

chewwy
he means does arcsecx = 1/arccosx

graphmatica says no.


How do you know he/she means something he hasn't typed?

Reply 5

Reciprical means 1/, so the reciprical of cos is 1/cos, or the reciprical of sec is cos.

The inverse of a function f(x) is defined to be f-1(x) such that f[f-1(x)]=x (and likewise f-1[f(x)] = x for obvious reasons).

The function which is f-1(x) when f(x)=sec(x) is arcsec(x), since sec[arcsec(x)] = x (for certain ranges of x).

Reply 6

AlphaNumeric
Reciprical means 1/, so the reciprical of cos is 1/cos, or the reciprical of sec is cos.

The inverse of a function f(x) is defined to be f-1(x) such that f[f-1(x)]=x (and likewise f-1[f(x)] = x for obvious reasons).

The function which is f-1(x) when f(x)=sec(x) is arcsec(x), since sec[arcsec(x)] = x (for certain ranges of x).

thanks alpha numeric this is what i meant.
so for example sec-1 1=0

by the way guys i am a girl :rolleyes:

Reply 7

One relation connecting them is

arcsec(x) = arccos(1/x)