If `x+y+z=pi,,tan x tanz=2and tanytanz=18,then tan^(2)z=`A. 15B. 16C. – InterviewSolution

1.	If `x+y+z=pi,,tan x tanz=2and tanytanz=18,then tan^(2)z=`A. 15B. 16C. 19D. 20
Answer» Correct Answer - B Whe have, `x+y+z=pi` `impliestanx+tany+tanz=tanxtanyz` `impliestanx+tany+tanz=2tany" "[becausetanxtanz=2]` `impliestanx+tanz=tany` `(tanx+tanz)tanz=tanytanz` `implies(tanx+tnz)tanz=18` `impliestanx tanz+tan^(2)z=18` `implies+tan^(2)z=18impliestan^(2)z=16.`

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