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nikakuz

  • 2 years ago

Name five x values for which the sine function equals to 0. Please help!!

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  1. Mertsj
    • 2 years ago
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    Are you familiar with the unit circle?

  2. nikakuz
    • 2 years ago
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    no

  3. Mertsj
    • 2 years ago
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    Then find the inverse sine of 0 and and 360 to that answer repeatedly until you have 5 values.

  4. nikakuz
    • 2 years ago
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    how?

  5. Mertsj
    • 2 years ago
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    With your calculator

  6. nikakuz
    • 2 years ago
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    I don't know how though

  7. Mertsj
    • 2 years ago
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    inverse sin 0 enter

  8. Mertsj
    • 2 years ago
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    What in the world are you doing that you don't know anything about the unit circle and don't know how to use your calculator?

  9. nikakuz
    • 2 years ago
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    i put sin 0 enter and the answer was 0 how do i get 5 values?

  10. nikakuz
    • 2 years ago
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    trying to learn from an oonline classs

  11. Mertsj
    • 2 years ago
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    |dw:1375670932781:dw|

  12. Mertsj
    • 2 years ago
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    Have you ever seen that before?

  13. nikakuz
    • 2 years ago
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    yeah

  14. Mertsj
    • 2 years ago
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    That is the unit circle. It is called the unit circle because the radius is 1 unit. The sin is like y.

  15. Mertsj
    • 2 years ago
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    Do you see that the y value is 0 at 0 degrees and 180 degrees?

  16. nikakuz
    • 2 years ago
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    yes

  17. Mertsj
    • 2 years ago
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    Your problem says to give 5 values for which the sin is 0. There are two of them right there: 0 degrees and 180 degrees. If we would go around the circle another time, we would come to 360 degrees and 180+360 which is 540 degrees. Are you with me?

  18. nikakuz
    • 2 years ago
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    sorta.. so it would be 0,180,540?

  19. Mertsj
    • 2 years ago
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    0,180,360,540... Just keep adding 180 degrees because every 180 degrees, the y value (which is the sin) is 0.

  20. Mertsj
    • 2 years ago
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    Or, instead of rotating counterclockwise, we could go clockwise and then the angles would be -180, -360, -540, ...

  21. nikakuz
    • 2 years ago
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    ohh ok thank you! i have the same question exept its cosine value

  22. Mertsj
    • 2 years ago
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    Same thing except the cosine is like x.

  23. Mertsj
    • 2 years ago
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    So where is the cosine 0 on the unit circle?

  24. nikakuz
    • 2 years ago
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    um im not sure

  25. Mertsj
    • 2 years ago
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    Look at the picture I drew. For what angles is the x value 0?

  26. Mertsj
    • 2 years ago
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    |dw:1375671563924:dw|

  27. Mertsj
    • 2 years ago
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    How many degrees is that?

  28. nikakuz
    • 2 years ago
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    90?

  29. Mertsj
    • 2 years ago
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    Yes.

  30. Mertsj
    • 2 years ago
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    And what is the next angle where the x value is 0?

  31. nikakuz
    • 2 years ago
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    so it would be 90 180...?

  32. Mertsj
    • 2 years ago
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    |dw:1375671659091:dw|

  33. nikakuz
    • 2 years ago
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    270?

  34. Mertsj
    • 2 years ago
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    yes. so the x value is 0 at 90, 270, 450, 630...

  35. nikakuz
    • 2 years ago
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    thank you soo much i just have one more

  36. Mertsj
    • 2 years ago
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    Or at -90, -270, -450...

  37. nikakuz
    • 2 years ago
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    same but tangent function

  38. Mertsj
    • 2 years ago
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    Do you know the definition of tangent?

  39. nikakuz
    • 2 years ago
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    umm no

  40. Mertsj
    • 2 years ago
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    tangent is equal to sin over cos Have you ever heard that?

  41. nikakuz
    • 2 years ago
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    i think ive heard it

  42. Mertsj
    • 2 years ago
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    \[\tan x=\frac{ \sin x}{\cos x}\]

  43. Mertsj
    • 2 years ago
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    The only way a fraction can be 0 is for the numerator to be 0. So the tangent is 0 whenever the sin is 0

  44. nikakuz
    • 2 years ago
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    ok so then wht

  45. Mertsj
    • 2 years ago
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    Are you trying to answer this question: Give 5 angles who tangent is 0?

  46. nikakuz
    • 2 years ago
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    the question is name five x values for which the tangent function equals to 0

  47. Mertsj
    • 2 years ago
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    Could you answer this question: Name five x values for which the sine function equals to 0?

  48. nikakuz
    • 2 years ago
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    yeah we already did that one

  49. Mertsj
    • 2 years ago
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    So did you read this post which I made a few moments ago: "The only way a fraction can be 0 is for the numerator to be 0. So the tangent is 0 whenever the sin is 0"

  50. nikakuz
    • 2 years ago
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    yeah i read it but i don't understand

  51. Mertsj
    • 2 years ago
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    The sin of 180 degrees is 0. Therefore the tangent of 180 degrees is also 0 The sin of 0 degrees is 0. Therefore the tangent of 0 degrees is also 0 The sin of 360 degrees is 0. Therefore the tangent of 360 degrees is also 0 The sin of 540 degrees is 0. Therefore the tangent of 540 degrees is also 0.

  52. nikakuz
    • 2 years ago
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    so my answer would be exactly the same as the sine one?

  53. Mertsj
    • 2 years ago
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    Let's make sure you understand this.

  54. Mertsj
    • 2 years ago
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    What is the sin of 180 degrees?

  55. nikakuz
    • 2 years ago
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    0

  56. Mertsj
    • 2 years ago
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    What is the cosine of 180 degrees?

  57. Mertsj
    • 2 years ago
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    \[\tan 180^{o}=\frac{\sin 180^{o}}{\cos 180^{o}}=\frac{0}{-1}=0\]

  58. Mertsj
    • 2 years ago
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    I guess you've gone. Good luck.

  59. nikakuz
    • 2 years ago
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    yeah i get it thank you soo much!!!!

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