What is the difference between arcsin and inverse sin?

Gold Member
What's the difference between arcsin and inverse sin?
arccos and inverse cos?
arctan and inverse tan?

Dr Transport
Gold Member
nothing they are the same.....different ways of saying the same thing.

dextercioby
Homework Helper
tony873004 said:
What's the difference between arcsin and inverse sin?
arccos and inverse cos?
arctan and inverse tan?
None,none,none...There is a trick though.For sine and cosine for example,defined on R,the rule f:A->B,f-1:B->A would not apply,since
$$\sin x:R\rightarrow [-1,+1]$$
$$\cos x:R\rightarrow [-1,-1]$$
$$\arcsin x:[-1,+1]\rightarrow [-\frac{\pi}{2},+\frac{\pi}{2}]$$
$$\arccos x:[-1,+1]\rightarrow [0,\pi]$$
,so the 'arcsine' and 'arccosine' are the inverse functions of 'sine' respectively 'cosine',BUT SINE X is inveritble only on the interval $[-\frac{\pi}{2},+\frac{\pi}{2}]$,and similar for COSINE X.
I'll let u work out the other examples for circular trigonometric functions:tan,cotan,sec,cosec.

Daniel.