Answer :


Given:


We know that,



Or



Let,


Side adjacent to angle θ =AB = 7k


Side opposite to angle θ =BC = 8k


where, k is any positive integer


Firstly we have to find the value of AC.


So, we can find the value of AC with the help of Pythagoras theorem


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


(7k)2 + (8k)2 = (AC)2


(AC)2 = 49 k2 +69 k2


(AC)2 = 113 k2


AC =113 k2


AC =k113




(i)


We know that,


(a+b)(a – b) = (a2 – b2)


So, using this identity, we get








(ii) cot2 θ


Given




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