Folks, Alpha Wolfram says that this is equivalent to for restricted values of x and k. How is this derived and for what range of values I wonder?
Follow Math Help Forum on Facebook and Google+
See Inverse trigonometric functions - Wikipedia, the free encyclopedia
The easiest way to visualize is to create a right-angled triangle to go with
Hello, bugatti79! .[1] . . From [1], we see that: . . . That is: . We also see that must be positive: . ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ is in a right triangle with: . Pythagorus says: .
Originally Posted by Soroban Hello, bugatti79! From [1], we see that: . . . That is: . We also see that must be positive: . ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ is in a right triangle with: . Pythagorus says: . Thanks Guys, looks good