SOLUTION: a) Kim said she found three angles for which sin θ =-3/7. Is that possible if 0°≤θ≤360°? Explain. b) Greg said he found two angles for which sin θ=-7/3. Is that possible

Algebra ->  Rational-functions -> SOLUTION: a) Kim said she found three angles for which sin θ =-3/7. Is that possible if 0°≤θ≤360°? Explain. b) Greg said he found two angles for which sin θ=-7/3. Is that possible       Log On


   

Question 1139933: a) Kim said she found three angles for which sin θ =-3/7. Is that possible if 0°≤θ≤360°? Explain.
b) Greg said he found two angles for which sin θ=-7/3. Is that possible if 0°≤θ≤360°? Explain.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a) Kim said she found three angles for which sin θ =-3/7. Is that possible if 0°≤θ≤360°? Explain.
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sine is negative in Q3 and Q4. |-3/7| < 1
Kim is lying, or delusional.
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b) Greg said he found two angles for which sin θ=-7/3. Is that possible if 0°≤θ≤360°? Explain.
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|-7/3| > 1.
Not possible in the x-y plane.
It is possible in the complex plane.

Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)
    There are only TWO angles between 0°  and  360°, for which sine is equal to -3%2F7.


    Two and only two : one in QIII and another in QIV.