tan(@+派\8)=2,求tan(@-派\8)

问题描述:

tan(@+派\8)=2,求tan(@-派\8)

tan(θ-π/8)
=tan[(θ+π/8)-(π/4)]
=[tan(θ+π/8)-tan(π/4)]/[1+tan(θ+π/8)tan(π/4)]
=[tan(θ+π/8)-1]/[1+tan(θ+π/8)]
=[2-1]/[1+2]
=1/3
则:tan(θ-π/8)=1/3