Question 407805
{{{sin(75)=x}}}

Just draw the unit circle and joggle a bit then all becomes clear.

sin^1(0.75) means "what angle gives {{{y = 0.75}}}" if you do the unit circle. You'll see that there is {{{two}}}{{{ angles}}} in the range {{{0 - 360}}} degree that gives you that value.

Which is correct depends on what the problem is, what physical situation it is and so on. 

=>

x = sin^-1(0.75) = 48.6 _degrees

and


x = sin^-1(0.75) = 131.41_degrees


If you calculate {{{sin(48.6)}}} it equals {{{0.750}}}

If you calculate {{{sin(131.41)}}} it equals {{{0.750}}}