anonymous
  • anonymous
the function H(x)=sin x cos x/2tan^2x i even. true or false?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
i even? I assume that means "is even"
amistre64
  • amistre64
even means reflects about the y axis right?
amistre64
  • amistre64
if f(-x) = f(x) it is an even function x^2 = (-x)^2

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amistre64
  • amistre64
cos is an even function and sin is an odd function in general....just recapping my memory here :)
anonymous
  • anonymous
yep, that be always true
amistre64
  • amistre64
sin(x) cos(x) -sin(x) cos(x) ---------- = ----------- ???? 2tan^2(-x) -2tan^2(x)
amistre64
  • amistre64
i think I messed up that tan^2(x) part lol hold on
amistre64
  • amistre64
2tan(x)tan(x) = 2-tan(x)-tan(x) = 2tan^2(x) its (+) on the bottom and (-) up top; it aint even then
anonymous
  • 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
anonymous
  • anonymous
yeah, it's not even it comes out neg
amistre64
  • amistre64
well of course tan is odd....it looks like x^3 lol right?
anonymous
  • anonymous
lool so taaan

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