tanθ=a,求[sin(pi/4+θ)/sin(pi/2-θ)]*tan2θ,
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tanθ=a,求[sin(pi/4+θ)/sin(pi/2-θ)]*tan2θ,
[sin(pi/4+θ)/sin(pi/2-θ)]*tan2θ
=[sin(pi/4+θ)/cosθ]*tan2θ
=[(sinπ/4cosθ+cosπ/4sinθ)/cosθ]*tan2θ
=[√2/2×(cosθ+sinθ)/cosθ]*tan2θ
=[√2/2×(1+tanθ)]*tan2θ
=√2/2×(1+tanθ)*tan2θ
=√2/2×(1+tanθ)*2tanθ/(1-tan²θ)
=√2×tanθ/(1-tanθ)
=√2a/(1-a)
=[sin(pi/4+θ)/cosθ]*tan2θ
=[(sinπ/4cosθ+cosπ/4sinθ)/cosθ]*tan2θ
=[√2/2×(cosθ+sinθ)/cosθ]*tan2θ
=[√2/2×(1+tanθ)]*tan2θ
=√2/2×(1+tanθ)*tan2θ
=√2/2×(1+tanθ)*2tanθ/(1-tan²θ)
=√2×tanθ/(1-tanθ)
=√2a/(1-a)
tanθ=a,求[sin(pi/4+θ)/sin(pi/2-θ)]*tan2θ
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