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Kazwaz

  • 2 years ago

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 ?

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  1. Mertsj
    • 2 years ago
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    That means the angle is in Quadrant III

  2. Mertsj
    • 2 years ago
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    |dw:1393719640331:dw|

  3. Mertsj
    • 2 years ago
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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)

  4. Kazwaz
    • 2 years ago
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    Sorry, can you go a bit further. Trying to help my daughter .

  5. Mertsj
    • 2 years ago
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    Would I be correct in assuming that you know the Pythagorean Theorem?

  6. Kazwaz
    • 2 years ago
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    Yes

  7. Mertsj
    • 2 years ago
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    Use it to find the hypotenuse in that right triangle.

  8. Kazwaz
    • 2 years ago
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    5.83

  9. Mertsj
    • 2 years ago
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    I believe your problem specifies "exact form"

  10. Kazwaz
    • 2 years ago
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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?

  11. Mertsj
    • 2 years ago
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    |dw:1393720948851:dw|

  12. Kazwaz
    • 2 years ago
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    Sorry, why are you multiplying by sq rt 34, then dividing by 34 ?

  13. Mertsj
    • 2 years ago
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    It is not considered simple form to have a radical in the denominator.

  14. Mertsj
    • 2 years ago
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    \[\frac{5}{\sqrt{34}}\times \frac{\sqrt{34}}{\sqrt{34}}=\frac{5\sqrt{34}}{34}\]

  15. Kazwaz
    • 2 years ago
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    Thanks for that. You've Ben a great help.

  16. Kazwaz
    • 2 years ago
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    been

  17. Mertsj
    • 2 years ago
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    yw

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