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cosa=1/3,a为第四象限角,求tan(π/4+a)的值.
人气:219 ℃ 时间:2020-06-26 23:07:21
解答
cosa=1/3
sina=-2√2/3
tana=-2√2
tan(π/4+a)
=(tanπ/4+tana)/(1-tanπ/4tana)
=(1+tana)/(1-tana)
=(1+tana)/(1-tana)
=(1-2√2)/(1+2√2)
=(1-2√2)^2/(1+2√2)(1-2√2)
=(9-4√2)/(-7)
=(4√2-9)/7
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