sin^-1 θ
(sin θ)^-1
2007-03-11 07:15:48 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
There is a difference between the two. The first one would result in an angle, either in radians or degrees. The second would result in 1/sinX and would probably give you a decimal
2007-03-11 07:30:48 · answer #1 · answered by Arian J 2 · 1⤊ 0⤋
By convention, sin^-1 θ is the inverse sine of θ, or arc sin θ.
(sin θ)^-1 = 1/sin θ
2007-03-11 14:32:09 · answer #2 · answered by Helmut 7 · 1⤊ 0⤋
They are different! In one case, the ^-1 is in front of the argument of the function (sine), in which case it indicates the inverse of the function. In the other case, ^-1 applies to the whole of the value in brackets, so it should be treated as an exponent. So...
sin^-1 (theta) is the inverse sine of theta, or the angle whose sine is theta.
(sin theta)^-1 is 1/(sin theta) or csc theta.
2007-03-11 14:32:15 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Nope. These are the 2 perfectly legal ways to write the same thing. First one is more used, in fact it was introduced to avoid writing extra parenthis. That's it. Good luck!
2007-03-11 14:26:46 · answer #4 · answered by --sv-- 2 · 0⤊ 1⤋
no there i no difference, u can write it either way
2007-03-11 14:24:04 · answer #5 · answered by wouldn't-u-like-to-know ;] 3 · 0⤊ 1⤋