anonymous
  • anonymous
Period of \(\Large\frac{|\cos x|}{\sin x}+\frac{|\sin x|}{\cos x}\)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1348659986687:dw|
anonymous
  • anonymous
IS IT pi?
hartnn
  • hartnn
2pi, but how

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anonymous
  • anonymous
So, the modulas sign makes great difference.
hartnn
  • hartnn
for simplicity, first try |sin x|+|cos x| @sauravshakya
anonymous
  • anonymous
well for that pi
anonymous
  • anonymous
|dw:1348660397213:dw|
hartnn
  • hartnn
@Ishaan94 i plotted |sin x|+|cos x| its period is coming out to be 90, 4 lobes in 360....u are correct, its pi/2, not pi
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hartnn
  • hartnn
@sauravshakya plot the sum, not individually, i also made that mistake and got pi, but its pi/2
anonymous
  • anonymous
OK
anonymous
  • anonymous
THIS MAY ALSO WORK: IsinxI+IcosxI=IsinxI + Isin(90-x)I
anonymous
  • anonymous
|dw:1348661004454:dw| NOW, x y 0-45 +ve 45-90 +ve 90-135 -ve 135-180 +ve 180-225 -ve 225-270 -ve 270-315 +ve 315-360 -ve
anonymous
  • anonymous
THAT CLEARLY SHOWS PERIOD MUST BE greater than or equal to 360 degree
anonymous
  • anonymous
BUT IT CANNOT BE greater than 360 degree as same pattern will repeat as the values of sin1 and sin 361 are same........ THUS the period is 360 degree.
anonymous
  • anonymous
CORRECT ?
phi
  • phi
yes, the period is 2pi

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