determine arcsin(sin(x)) for Pi/2 < x <3Pi/2
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Originally Posted by dwsmith http://www.mathhelpforum.com/math-he...sin-sin-x.html Click link I dont really understand whats going on in that thread =\ How would i calculate it in an exam? like with no calculator or stuff...
Lets start by saying y=arcsin(sinx) then. Now if we take the sin of both sides, we have siny=sinx What values of x and y in the interval will satisfy this equation?
Originally Posted by dwsmith Lets start by saying y=arcsin(sinx) then. Now if we take the sin of both sides, we have siny=sinx What values of x and y in the interval will satisfy this equation? all values?....
So if x=-pi and y=2, siny=sinx? When x=y they will be equal. What angle does that occur at?
Originally Posted by dwsmith So if x=-pi and y=2, siny=sinx? When x=y they will be equal. What angle does that occur at? dw... your rhetorical questions fail at life. i worked it out myself
Would you have learned anything if my first post just said 5pi/4 + (2pi)k or -3pi/4 + (2pi)k.
Originally Posted by dwsmith Would you have learned anything if my first post just said 5pi/4 + (2pi)k or -3pi/4 + (2pi)k. no cause thats not the answer.....
Here is the proof pg 3. x=arcsin(sinx) I said say y=arcsin(sinx) and then ended with when y=x. http://www.math.tamu.edu/~austin/section4_6.pdf
Originally Posted by dwsmith Here is the proof pg 3. x=arcsin(sinx) I said say y=arcsin(sinx) and then ended with when y=x. http://www.math.tamu.edu/~austin/section4_6.pdf sorry can you stop failing? the answer is Pi -x..... i wanted someone to explain it...
You should work on your trig. Do you even know what the difference between it equaling x or pi - x? It has to do with what side of the y axis you are on.
Originally Posted by dwsmith Would you have learned anything if my first post just said 5pi/4 + (2pi)k or -3pi/4 + (2pi)k. dwsmith, I think you've got something wrong here. I think you are attempting to solve sin x = cos y.
Originally Posted by dwsmith You should work on your trig. Do you even know what the difference between it equaling x or pi - x? It has to do with what side of the y axis you are on. i think you have to work on explaining things and actually getting the solution the person wants instead of waffling
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