求证-1/tanθ等于tan(0.5π+θ)

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求证-1/tanθ等于tan(0.5π+θ)
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求证-1/tanθ等于tan(0.5π+θ)
求证-1/tanθ等于tan(0.5π+θ)

求证-1/tanθ等于tan(0.5π+θ)
tan(0.5π+θ)=-cotθ(诱导公式,课本上有)
cotθ=1/tanθ
∴tan(0.5π+θ)=-1/tanθ

tan(0.5π+θ)
=-cotθ
=-1/tanθ