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anonymous

  • one year ago

Will medal and fan! The point (2, 3) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

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  1. Nnesha
    • one year ago
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    (x,y) x=cos y= sin both are positive in this order pair (2,3) so we should draw right triangle in first quadrant |dw:1442338381572:dw|

  2. Nnesha
    • one year ago
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    \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

  3. Nnesha
    • one year ago
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    according^^ to that where you should write 2 on the right triangle ?

  4. anonymous
    • one year ago
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    The top? |dw:1442339336603:dw|

  5. Nnesha
    • one year ago
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    cos = adjacent over hyp |dw:1442343085336:dw| y = sin= opposite

  6. Nnesha
    • one year ago
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    now apply Pythagorean theorem to find 3rd side of the right triangle\[\huge\rm a^2+b^2=c^2\] plugin a b values solve for c

  7. Nnesha
    • one year ago
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    remember `c` is the longest side of the right triangle (hypotenuse )

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