jojoforever
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
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Hint: csc θ = 1 / sin θ
cwrw238
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so plug this into your equation and simplify to get an equation in sin θ
jojoforever
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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.
jojoforever
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is it {30, 150} ?
cwrw238
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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
jojoforever
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THANK YOU SO MUCH!
cwrw238
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no probs