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Ishaan94

  • 2 years ago

Period of \(\Large\frac{|\cos x|}{\sin x}+\frac{|\sin x|}{\cos x}\)?

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  1. sauravshakya
    • 2 years ago
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    |dw:1348659986687:dw|

  2. sauravshakya
    • 2 years ago
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    IS IT pi?

  3. hartnn
    • 2 years ago
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    2pi, but how

  4. sauravshakya
    • 2 years ago
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    So, the modulas sign makes great difference.

  5. hartnn
    • 2 years ago
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    for simplicity, first try |sin x|+|cos x| @sauravshakya

  6. sauravshakya
    • 2 years ago
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    well for that pi

  7. sauravshakya
    • 2 years ago
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    |dw:1348660397213:dw|

  8. hartnn
    • 2 years ago
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    @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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  9. hartnn
    • 2 years ago
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    @sauravshakya plot the sum, not individually, i also made that mistake and got pi, but its pi/2

  10. sauravshakya
    • 2 years ago
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    OK

  11. sauravshakya
    • 2 years ago
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    THIS MAY ALSO WORK: IsinxI+IcosxI=IsinxI + Isin(90-x)I

  12. sauravshakya
    • 2 years ago
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    |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

  13. sauravshakya
    • 2 years ago
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    THAT CLEARLY SHOWS PERIOD MUST BE greater than or equal to 360 degree

  14. sauravshakya
    • 2 years ago
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    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.

  15. sauravshakya
    • 2 years ago
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    CORRECT ?

  16. phi
    • 2 years ago
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    yes, the period is 2pi

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