Question

Find the exact value.
tan-1(-1)

Answer 1

-45 is principal value:)
-45+180n where n is a natural no is a general value:)

Answer 2

I don't get it..

Answer 3

The answer in my book says -pi/4.

Answer 4

@AmberBamber
-pi/4 is in radians and 45 is in degrees nothing more than this pi radians=180 degree:)

Answer 5

Lol, I have absolutely no clue what I am doing, whatsoever. I'm so sorry, but I'm so lost.

Answer 6

no prob did u get the general value concept????????

Answer 7

Not at all.

Answer 8

do u want to know or let it leave :D

Answer 9

If it is necessary to do these problems, I would love to know. Lol

Answer 10

i like ur spirit now answer my questions then
r u ready???????????

Answer 11

Yes. :)

Answer 12

now do you know about tan x???

Answer 13

I know that I learned it, but I don't think I remember anything about it.

Answer 14

tan x is periodic function of pi i.e. it repeats its value after every pi...k:)
now tan pi/4=??????

Answer 15

tan pi/4-= 1??

Answer 16

yup:)
and
tan -pi/4=-1
tan (pi-pi/4)=tan3pi/4=??????

Answer 17

@AmberBamber

Answer 18

sorry!

Answer 19

hold on, let me do this really quick.

Answer 20

-1?

Answer 21

yup it means that after every pi it repeats its value
so
i can write that
tan(n*pi-pi/4)=-1 for all values of n???????

Answer 22

@AmberBamber now what is actually tan^-1x means????????

Answer 23

... I'm not sure

Answer 24

any inverse function means that
if f(a)=y then it means the value of f(x) at a is y
f^-1(y)=a because it means at what value of x we get y as result that is a
so here tan^-1x is a function which is just opposite of tanx you put the value of x in tanx and get a result now if this result is put into tan^-1x you will get the value x
k got it??????

Answer 25

@AmberBamber ???????

Answer 26

@AmberBamber