Question 962222: When graphing a problem such as G(t) = csc(t/2 - pi/4) I don't understand the concept of why the number pi/4 becomes pi/8. I keep getting confused about this please give details
Thanks!
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i'm not exactly sure what you are talking about, but i'll tell you what i know about the formula and maybe it will answer your question.
the general formula is y = a*sin(b * (x-c)) + d
this formula applies to y = a * csc(b * (x-c)) + d as well.
there are two forms to the formula:
they are:
y = a * csc(b * (x-c)) + d
and:
y = a * csc((b*x) - b*c) + d
the only difference is that the b * (x-c) has been distributed to be equal to (b * x) - (b * c).
what does this mean in reference to your problem?
if your original formula is csc (t/2 - pi/4), then the alternate form of showing this would be csc (1/2 * (t - 2*pi/4)
now, if your original formula is csc (1/2 * (t - pi/4)), then the alternate form of showing this would be csc (1/2 * t - 1/2 * pi/4) which would then be shown as csc (t/2 - pi/8)
outside of this, i'm not exactly sure what you are referring to.
please be more specific with an example and then i might be able to answer your question better.
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