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anonymous

  • one year ago

Which value is a solution for the equation tan x/2=0 3pi/2 pi 2pi pi/2

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  1. mathstudent55
    • one year ago
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    Where is the tangent equal to zero?

  2. anonymous
    • one year ago
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    I'm not sure?

  3. mathstudent55
    • one year ago
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    Think of the tangent as being \(\tan x = \dfrac{\sin x}{\cos x}\) The tangent is zero where the sine is zero. At what values is the sine zero?

  4. anonymous
    • one year ago
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    would it also be zero?

  5. mathstudent55
    • one year ago
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    The function y = sin x is zero at all integer multiples pf pi. |dw:1437451807607:dw|

  6. anonymous
    • one year ago
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    meaning pi would be the answer, right?

  7. mathstudent55
    • one year ago
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    tan x = 0 at ... -pi, 0, pi, 2p-i, 3pi, ...

  8. mathstudent55
    • one year ago
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    So solving your equation, \(\tan \dfrac{x}{2} = 0 \) \(\dfrac{x}{2} = ... -\pi, 0, \pi, 2\pi, ... \) \(x = ... -2\pi, 0, 2 \pi, 4 \pi, ...\)

  9. anonymous
    • one year ago
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    I'm sorry I'm still confused?

  10. mathstudent55
    • one year ago
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    Remember that your equation was not tan x = 0 Your equation was tan x/2 = 0 Once we found where the tangent has a value of zero, which is every integer multiple of pi, that means x/2 equals every integer multiple of pi. Now we need x. When you multiply every integer multiple of pi by 2, you get every even multiple of pi. The solution to the equation tan x/2 = 0 is every even multiple of pi. There is only one choice that is an even multiple of pi.

  11. anonymous
    • one year ago
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    2pi??

  12. mathstudent55
    • one year ago
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    Correct.

  13. anonymous
    • one year ago
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    Thanks!

  14. mathstudent55
    • one year ago
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    You're welcome.

  15. anonymous
    • one year ago
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    To start off, let's drop the x/2 and just say tanx. Where does tan x = 0?

  16. anonymous
    • one year ago
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    if you know where tanx = 0. I know your question is tan(x/2), but I was just seeing if you knew tanx = 0. So that means is if it were just X, x would = pi. But we have (x/2). So instead of x = pi, I'll say (x/2) = pi and then say solve for x :3

  17. anonymous
    • one year ago
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    So 2pi is yo answer just wanted to check the answer.

  18. mathstudent55
    • one year ago
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    Isn't that exactly what I did above?

  19. anonymous
    • one year ago
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    ya but I wanted to check it im bored soo bored

  20. UsukiDoll
    • one year ago
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    there's nothing wrong with verification. As long as it's not spam, there's nothing bad about it.

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