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jojoforever
 2 years ago
find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation 2(sin θ + csc θ )=5
jojoforever
 2 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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cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1Hint: csc θ = 1 / sin θ

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1so plug this into your equation and simplify to get an equation in sin θ

jojoforever
 2 years ago
Best ResponseYou've already chosen the best response.0thank you i am solving now, but can you also solve it so we can check if we got the same answer.

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1ok 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
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