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jojoforever

  • 3 years ago

find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation 2(sin θ + csc θ )=5

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  1. cwrw238
    • 3 years ago
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    Hint: csc θ = 1 / sin θ

  2. cwrw238
    • 3 years ago
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    so plug this into your equation and simplify to get an equation in sin θ

  3. jojoforever
    • 3 years ago
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    thank you i am solving now, but can you also solve it so we can check if we got the same answer.

  4. jojoforever
    • 3 years ago
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    is it {30, 150} ?

  5. cwrw238
    • 3 years ago
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    ok i'll write s for sin 2 ( s + 1/s) = 5 s^2 + 1 ------ = 2.5 s s^2 - 2.5s + 1 = 0 s = 2 or 0.5 s cannot be 2 when sin theta = 0.5 theta is 30 , 150 you are right

  6. jojoforever
    • 3 years ago
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    THANK YOU SO MUCH!

  7. cwrw238
    • 3 years ago
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    no probs

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