Answer :

We are given that,

∆ABC is a right-angled triangle at C.


Let the sides of the ∆ABC be


AC = b


BC = a


AB = c


By Pythagoras theorem, where C is the right angle,


(AC)2 + (BC)2 = (AB)2


b2 + a2 = c2


Or,


a2 + b2 = c2 …(i)


Using the property of inverse trigonometry,



Replacing A by and B by ,






Substituting the value of a2 + b2 from equation (i),



=tan-1


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