Answer :


We know that,



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


We know that,

(a+b)(a – b) = (a2 – b2)

So, using this identity, we get

(ii) cot2 θ


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