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OpenStudy (anonymous):
the function H(x)=sin x cos x/2tan^2x i even. true or false?
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OpenStudy (amistre64):
i even? I assume that means "is even"
OpenStudy (amistre64):
even means reflects about the y axis right?
OpenStudy (amistre64):
if f(-x) = f(x) it is an even function
x^2 = (-x)^2
OpenStudy (amistre64):
cos is an even function and sin is an odd function in general....just recapping my memory here :)
OpenStudy (anonymous):
yep, that be always true
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OpenStudy (amistre64):
sin(x) cos(x) -sin(x) cos(x)
---------- = ----------- ????
2tan^2(-x) -2tan^2(x)
OpenStudy (amistre64):
i think I messed up that tan^2(x) part lol hold on
OpenStudy (amistre64):
2tan(x)tan(x) = 2-tan(x)-tan(x) = 2tan^2(x)
its (+) on the bottom and (-) up top; it aint even then
OpenStudy (anonymous):
"All Students Take Calc"
All positive in 1st quad
Sine positive in 2nd quad
Tangent positive in 3rd quad
Cosine positive in 4th quad
OpenStudy (anonymous):
yeah, it's not even
it comes out neg
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OpenStudy (amistre64):
well of course tan is odd....it looks like x^3 lol right?
OpenStudy (anonymous):
lool
so taaan
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