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Easy math questions please help?

Test the equation for symmetry with respect to the specified axis, line, or pole.

r=4+2sinΘ with the line Θ=pie/2

and

r=4+2cosΘ with the pole

Update:

obviously I did try *** hole. If you dont know how to do it then why comment?

2 Answers

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  • 8 years ago
    Favorite Answer

    For the first one you can check to see if r(Θ) = r(π-Θ)

    This is because π-Θ gives the reflection of Θ about the y-axis. Plug in some values and see for yourself.

    4+2sin(π-Θ) = 4+2[sin(π)cos(Θ) - sin(Θ)cos(π)]

    = 4+2[0- (-sinΘ)]

    =4+2sinΘ

    For the second one you can check to see if r(Θ) = r(Θ+π)

    This is because Θ+π gives the reflection of Θ about the origin.

    4+2cos(Θ+π) = 4+2[cos(Θ)cos(π) - sin(Θ)sin(π)]

    =4+2[-cosΘ]

    =4-2cosΘ

    Source(s): Deep thinking.
  • 8 years ago

    If it's easy, why won't you try to solve it by yourself first before asking for our help, right?

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