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SugarRainbow Group Title

find sec and csc when tan=3?

  • 2 years ago
  • 2 years ago

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  1. lgbasallote Group Title
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    if tan = 3 then that means opposite side is 3 and adjacent side is 1. make sense?

    • 2 years ago
  2. SugarRainbow Group Title
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    i think so it's one because on the unit circle the radius is one i guess? that's how i'm thinking about it

    • 2 years ago
  3. lgbasallote Group Title
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    no.. that's actually because \[\tan = 3 = \frac 31 = \frac{opposite}{adjacent}\] so opposite side is 3 and adjacent side is 1

    • 2 years ago
  4. lgbasallote Group Title
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    does it make sense now?

    • 2 years ago
  5. SugarRainbow Group Title
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    yeah okay that makes more sense

    • 2 years ago
  6. lgbasallote Group Title
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    good so that means hypotenuse is \[\huge \sqrt{3^2 + 1^2}\implies \sqrt{9 + 1} \implies \sqrt {10}\] right?

    • 2 years ago
  7. SugarRainbow Group Title
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    yeah that makes comeplete sense! okay so in another question i have to find tan and cot when sec=4 so does that mean....

    • 2 years ago
  8. lgbasallote Group Title
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    \[\sec = 4 = \frac 41 = \frac{hypotenuse}{adjacent}\] so that means hypotenuse = 4 and adjacent = 1 right?

    • 2 years ago
  9. SugarRainbow Group Title
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    the hypotenuse is 4 and the adjacent angle is 1?|dw:1347253071421:dw|

    • 2 years ago
  10. lgbasallote Group Title
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    now....use pythagorean theorem \[\huge a^2 + b^2 = c^2\] \[\huge \implies a^2 = c^2 - b^2\] \[\huge \implies a = \sqrt{c^2 - b^2}\] got it?

    • 2 years ago
  11. SugarRainbow Group Title
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    yeah okay i think i getting this! okay last thing, what if i get something wierd like cos=0.8?

    • 2 years ago
  12. lgbasallote Group Title
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    0.8 means 8/10

    • 2 years ago
  13. lgbasallote Group Title
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    you turn them into fractions

    • 2 years ago
  14. SugarRainbow Group Title
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    okay so whenever i get a number i think of that number over what gives me that right?

    • 2 years ago
  15. lgbasallote Group Title
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    hmm many word plays but it sounds about right

    • 2 years ago
  16. SugarRainbow Group Title
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    okay cool thank you so much!

    • 2 years ago
  17. lgbasallote Group Title
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    welcome

    • 2 years ago
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