Question

Inverse Trigonometric Functions,

Can you please help me solve this exersise ? http://screencast.com/t/l72oUq8pXdX

Answer 1

#veryeasy

Answer 2

:/

Answer 3

http://en.wikipedia.org/wiki/Inverse_trigonometric_functions
see the 2nd table

Answer 4

under
'Relationships between trigonometric functions and inverse trigonometric function'

Answer 5

Okay, so for the first one:

\(\sin^{-1}\left(\sin\left(\dfrac{\pi}{7}\right)\right) = \dfrac{\pi}{7}\) because inverse trig functions cancel leaving only the argument.

Answer 6

so (b) is 5pi/7 ? @hero @hartnn

Answer 7

yes

Answer 8

Ok so these are all "true" ? http://screencast.com/t/AnZGifYWi

Answer 9

except zero for tans *

Answer 10

or maybe not , idk -_-

Answer 11

all are always true , even for 0's
tan (arc tan0) = 0
arctan (tan 0) =0

Answer 12

I see ! ty

Answer 13

The solution manual is harder than I expected -_- http://screencast.com/t/8jOtQ4Ipd @hartnn @Hero Maybe is saying the same thing in different way or is there any slight difference ?

Answer 14

what is different ? just their domains are mentioned...

Answer 15

aah -_-

Answer 16

look at the domains of various inverse trigo functions from wiki