How do we determine when there is one or two cases for the law of sines

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the angle between 0 and π/2 where cosine equals 1/2?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
When is sine of Theta equal to 1/2? List the angles.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain why there are two possible angles when taking the inverse sine of 1/2.
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
How do you find the obtuse angle when given an acute angle using inverse sine?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the relationship between acute and obtuse angles in the context of inverse sine?
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