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anonymous

  • one year ago

If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in complete sentences

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  1. anonymous
    • one year ago
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    @mathstudent55 @e.mccormick @pooja195

  2. anonymous
    • one year ago
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    @Hero @ganeshie8

  3. anonymous
    • one year ago
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    @King.Void.

  4. UnkleRhaukus
    • one year ago
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    |dw:1440302063568:dw|

  5. UnkleRhaukus
    • one year ago
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    |dw:1440302106715:dw|

  6. UnkleRhaukus
    • one year ago
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    cosine = adjacent / hypotenuse sine = opposite / hypotenuse tangent = opposite / adjacent

  7. UnkleRhaukus
    • one year ago
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    the question states cosine of x equals 1 over 2 so you can determine the length of the adjacent side, and the hypotenuse

  8. anonymous
    • one year ago
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    So sin would be 1/2 as well and tan would be 1/1 ?

  9. UnkleRhaukus
    • one year ago
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    |dw:1440302345298:dw|

  10. UnkleRhaukus
    • one year ago
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    work out the length of the opposite side, with pythag

  11. UnkleRhaukus
    • one year ago
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    1^2 + opp^2 = 2^2 opp =

  12. UnkleRhaukus
    • one year ago
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    NB: 1^1 + 1^2 = 2 ≠ 4

  13. anonymous
    • one year ago
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    so x would equal \[\sqrt{3}\]

  14. UnkleRhaukus
    • one year ago
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    yeah, that is the length of the opposite side

  15. anonymous
    • one year ago
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    so then i plug it in and thats the answer?

  16. UnkleRhaukus
    • one year ago
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    |dw:1440302619035:dw|

  17. UnkleRhaukus
    • one year ago
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    now work out sine = opposite / hypotenuse tangent = opposite / adjacent

  18. anonymous
    • one year ago
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    so sin = √3/2 and tan =√3/1

  19. UnkleRhaukus
    • one year ago
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    YES!, but you should simplify √3/1

  20. anonymous
    • one year ago
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    Thanks so much. Can you help me with one more please

  21. UnkleRhaukus
    • one year ago
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    Sure!

  22. anonymous
    • one year ago
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    I'll make a new question and tag you again

  23. UnkleRhaukus
    • one year ago
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    ok!

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