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Kazwaz Group Title

If tan x =3/5 and x is greater than 180 degrees but smaller than 270 degrees. What is the exact value of sin x and cos x ?

  • 7 months ago
  • 7 months ago

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  1. Mertsj Group Title
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    That means the angle is in Quadrant III

    • 7 months ago
  2. Mertsj Group Title
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    |dw:1393719640331:dw|

    • 7 months ago
  3. Mertsj Group Title
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    Find the hypotenuse then use the definitions of sin and cos. (Remember: sin and cos are both negative in Quadrant III)

    • 7 months ago
  4. Kazwaz Group Title
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    Sorry, can you go a bit further. Trying to help my daughter .

    • 7 months ago
  5. Mertsj Group Title
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    Would I be correct in assuming that you know the Pythagorean Theorem?

    • 7 months ago
  6. Kazwaz Group Title
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    Yes

    • 7 months ago
  7. Mertsj Group Title
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    Use it to find the hypotenuse in that right triangle.

    • 7 months ago
  8. Kazwaz Group Title
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    5.83

    • 7 months ago
  9. Mertsj Group Title
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    I believe your problem specifies "exact form"

    • 7 months ago
  10. Kazwaz Group Title
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    So I leave it as sq root 34. Then cos x is -5/sq root 34 and sin x is -3/sq root 34. Is that correct?

    • 7 months ago
  11. Mertsj Group Title
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    |dw:1393720948851:dw|

    • 7 months ago
  12. Kazwaz Group Title
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    Sorry, why are you multiplying by sq rt 34, then dividing by 34 ?

    • 7 months ago
  13. Mertsj Group Title
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    It is not considered simple form to have a radical in the denominator.

    • 7 months ago
  14. Mertsj Group Title
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    \[\frac{5}{\sqrt{34}}\times \frac{\sqrt{34}}{\sqrt{34}}=\frac{5\sqrt{34}}{34}\]

    • 7 months ago
  15. Kazwaz Group Title
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    Thanks for that. You've Ben a great help.

    • 7 months ago
  16. Kazwaz Group Title
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    been

    • 7 months ago
  17. Mertsj Group Title
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    yw

    • 7 months ago
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