why does the question sin(1/2) not have two angles for a answer but instead quals pi/6?
2007-01-07 08:53:45 · 2 answers · asked by advocat of funk 1 in Science & Mathematics ➔ Mathematics
are there restrictions on what the answer can be for sin cos tan? if so waht are they?
2007-01-07 09:28:26 · update #1
I think the reason is that the answer was found using the sin^-1 (x) function (sine inverse). The sine inverse function looks only at quadrants I and IV for angles. So in an interval say [0, pi] there would be two answers, but there is only one such angle in the range from [-pi/2 , pi/2].
2007-01-07 08:58:01 · answer #1 · answered by Modus Operandi 6 · 0⤊ 0⤋
No, actually, there are two answers.
Your calculator is just giving you the answer in ONE of the FOUR coordinents.
Sine is positive in quads I and II
Simply put your answer in quad II.
so, the answers are 30 and 150 degrees
OR
pi/6 and 5pi/6 radians
2007-01-07 17:01:07 · answer #2 · answered by Anonymous · 0⤊ 0⤋