Mathematics
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OpenStudy (anonymous):
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OpenStudy (anonymous):
what is the relationship between sine and cosine angles?
OpenStudy (anonymous):
\[\sin \theta = \cos (\frac{ \pi }{ 2 } - \theta)\]
can you work from here?
OpenStudy (anonymous):
no, how would I transform the equation into the other format?
OpenStudy (anonymous):
Try to replace sin by cos using the above formula in f(x)
OpenStudy (anonymous):
assume theta = 4x - pi
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OpenStudy (anonymous):
what can you do with Sin(4x - pi) ?
OpenStudy (anonymous):
3 cos (4x - pi) + 4
?
OpenStudy (anonymous):
you forgot that the angle needs to be subtracted from pi/2 to get cosine. correct it
OpenStudy (anonymous):
that I don't know how to do. How do I do that?
OpenStudy (anonymous):
3cos(pi/2 -(4x - pi)) + 4
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OpenStudy (anonymous):
Oh, ok; is this the simplified answer?
OpenStudy (anonymous):
@rkopen ?
OpenStudy (anonymous):
no you need to open the parenthesis within cos and simplify
OpenStudy (anonymous):
pi/2 -(4x - pi)
OpenStudy (anonymous):
what will that be?
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OpenStudy (anonymous):
what is a - (b - c) ?
OpenStudy (anonymous):
a - (b - c) = a-b+c
similarly, we get pi/2 - 4x + pi
can you add pi and pi/2 ?
OpenStudy (anonymous):
@rkopen
OpenStudy (anonymous):
did not get that - do you want me to give the answer? I won't do that