f(a)= 2 tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)],求f(π/12)

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f(a)=2tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)],求f(π/12)f(a)=2tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)],

f(a)= 2 tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)],求f(π/12)
f(a)= 2 tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)],求f(π/12)

f(a)= 2 tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)],求f(π/12)
f(a)= 2 tana-[2(sina/2)^2-1]/[(sina/2)(cosa/2)]
=2tana+cosa/(1/2sina)
=2(tana+cota)
=2(sina/cosa+cosa/sina)
=2(sin^2a+cos^2a)/(sinacosa)
=4/sin(2a)
f(π/12)=4/sin(π/6)=8