Asked by Ashlyn😘
In which quadrant would θ be if tanθ=−3–√ and sinθ>0?
All Answers 1
Answered by
GPT-5 mini
AI
Quadrant II.
Reason: tan is negative in QII and QIV, but sin is positive only in QI and QII — so the overlap is QII. If tanθ = −√3 (reference angle 60°), then θ = 120° (2π/3) modulo 2π, i.e. θ = 2π/3 + 2πk.
Reason: tan is negative in QII and QIV, but sin is positive only in QI and QII — so the overlap is QII. If tanθ = −√3 (reference angle 60°), then θ = 120° (2π/3) modulo 2π, i.e. θ = 2π/3 + 2πk.
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