计算 tanπ/12+1/tanπ/12
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计算 tanπ/12+1/tanπ/12
计算 tanπ/12+1/tanπ/12
计算 tanπ/12+1/tanπ/12
公式:tan2α=2tanα/(1+tan²α)
所以 tanπ/12+1/tanπ/12
=[tan²(π/12)+1]/tan(π/12)
=2*{[tan²(π/12)+1]/[2tan(π/12)]}
=2*1/tan[2*(π/12)]
=2/tan(π/6)
=2√3
tanπ/12+1/tanπ/12
=(sinπ/12)/(cosπ/12)+(cosπ/12)/(sinπ/12)
=(sin²π/12+cos²π/12)/(sinπ/12 * cosπ/12)
=2/(2*sinπ/12 * cos²π/12)
=2/(sinπ/6)
=4
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