Question

Arcsin(sin(3pi))

Answer 1

3π

Answer 2

we're inversing the value of \(\sin(3\pi)\), which brings the \(3\pi\) back to us :)

Answer 3

arcsin(sin(3pi)) means what is the angle which gets the value of sin(3pi)? Of course it is 3pi haha

Answer 4

Arcsin(sin(x)) = x

Answer 5

Arctan(tan(x)) = x

Answer 6

etcetc :)

Answer 7

is the domain the same?

Answer 8

or the range?

Answer 9

i dont understand how acrsin(sin(3pi))=3pi=0 . its said that the range of acrsin is -pi/2<y<pi/2 which lies between quadrants 1 and 4. if 3pi lies in the x-axis between quadrants 2 and 3, then how is 3pi in the range of arcsin? thus how is the answer 0 ? please help

Answer 10

\[ y=\sin(x)\]dw:1339678093202:dw|

Answer 11

at the point \(x=3\pi\)
\[\sin(x)=0\]
ie \(\sin(3\pi)=0\)

Answer 12

\[\arcsin(\sin(3pi))=\arcsin(0)\]

Answer 13

i get that but sin(3pi) is not in the range of arcsin

Answer 14

\[y=\arcsin(x)\]
hence \[\arcsin(0)=0\]