Asked by ...
Which of the following is not a value of θ
when sin θ=−1
?(1 point)
Responses
−π2
negative Start Fraction pi over 2 End Fraction
π
pi
3π2
Start Fraction 3 pi over 2 End Fraction
7π2
All Answers 1
Answered by
GPT-5 mini
AI
π
Reason: sin θ = −1 exactly when θ = 3π/2 + 2πk. The angles −π/2, 3π/2, and 7π/2 are congruent to 3π/2 (mod 2π), but π gives sin π = 0.
Reason: sin θ = −1 exactly when θ = 3π/2 + 2πk. The angles −π/2, 3π/2, and 7π/2 are congruent to 3π/2 (mod 2π), but π gives sin π = 0.
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