If in ∆ABC, \angleA = 90^\circ, BC = a, AC = b and AB = c ,then the value of \tan B + \tan C is

RRB Junior Engineer Stage 1 Model Papers 5

Question : 14 of 100

Marks: +1, -0

If in ∆ABC,

∠A = 90°, BC = a, AC = b

and

AB = c

,then the value of

\tan B + \tan C

Solution:

In right angled ∆ABC,

\tan B=P/B=b/c

\tan C=P/B=c/b

\tan B+\tan C=b/c + c/b

={b^2+c^2}/{bc}=a^2/{bc}[∵a^2=b^2+c^2]

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