tanx+tany=25,cotx+coty=30.tan(x+y)=?RT

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tanx+tany=25,cotx+coty=30.tan(x+y)=?RT
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tanx+tany=25,cotx+coty=30.tan(x+y)=?RT
tanx+tany=25,cotx+coty=30.tan(x+y)=?
RT

tanx+tany=25,cotx+coty=30.tan(x+y)=?RT
cotx+coty
=1/tanx+1/tany
=(tanx+tany)/(tnaxtany)
即30=25/(tanxtany),所以tanxtnay=5/6
tan(x+y)
=(tanx+tany)/(1-tanxtany)
=25/(1-5/6)
=150

cotx+coty=30,所以tanxtany=5/6,tan(x+y)=150

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