Question #4c35e

1 Answer
P dilip_k
Nov 24, 2017

given

#tan^2x - 5tanx + 1= 0#

#=>tan^2x/tanx - 5tanx/tanx + 1/tanx= 0#

#=>tanx - 5 + cotx= 0#

#=>tanx + cotx= 5#

#=>(tanx + cotx)^2= 5^2#

#=>tan^2x + cot^2x+2tanxcotx= 25#

#=>tan^2x + cot^2x+2= 25#

#=>tan^2x + cot^2x= 25-2=23#

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