167 reputation
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bio website
location Lowell, MA
age 21
visits member for 2 years, 10 months
seen May 13 '13 at 20:03

University undergraduate programming and applications for youth (grades 5 - 12) to learn science through a new technological perspective.


Sep
14
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
Thank you kindly for your help and for putting up with me - it's greatly appreciated. Same for you, @Hans.
Sep
13
accepted Finding all Trigonometric Solutions of an Equation within a Given Interval
Sep
13
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
Aha, wait a moment! Following @Arturo's comment, I got $\sin x = -1/2$, which is either $7\pi/6$ or $11\pi/6$, right?
Sep
13
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
I see that theres one more solution just beyond $\pi$ when I graphed the 2 functions, but I still can't reason out what it is. I tried following @Arturo's previous comment, but to no avail.
Sep
13
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
Is it not just $0$ and $\pi$?
Sep
13
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
I eventually simplified to the point that I got $\sin x = 0$, thus making the solutions $0$ and $\pi$. Is this correct?
Sep
13
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
I'm sorry, @Srivatsan, I'm confused. Could you re-word that?
Sep
13
comment Finding all Trigonometric Solutions of an Equation within a Given Interval
So If I substitute, I get $1 - 2sin^2x - sinx = 1$, which is $-2sin^2x - sinx = 0$. Is there a way to simplify this further?
Sep
13
asked Finding all Trigonometric Solutions of an Equation within a Given Interval
Sep
10
awarded  Editor
Sep
10
comment Given that $s$ is an even function and $t$ is an odd function, is $s(t(x))$ even or odd?
Thank you both Brian M. Scott and Austin Mohr for your help. It is greatly appreciated.
Sep
10
accepted Given that $s$ is an even function and $t$ is an odd function, is $s(t(x))$ even or odd?
Sep
10
revised Given that $s$ is an even function and $t$ is an odd function, is $s(t(x))$ even or odd?
added 11 characters in body
Sep
10
comment Given that $s$ is an even function and $t$ is an odd function, is $s(t(x))$ even or odd?
I would believe even. Substituting $-t(x)$ in your previous statement for $u$, for the sake of argument, $s(-u)$ = $s(u)$, since $s$ is even. Substituting back in, $s(t(-x)) = (s(t(x))$, making it even, correct?
Sep
10
asked Given that $s$ is an even function and $t$ is an odd function, is $s(t(x))$ even or odd?
Sep
10
awarded  Scholar
Sep
10
accepted Given f(x), create g(x) so that f(g(x)) = x
Sep
10
awarded  Supporter
Sep
10
comment Given f(x), create g(x) so that f(g(x)) = x
So is the solution 7x / x-1?
Sep
10
awarded  Student