Answer :



We know that,



Or



Let,


Side adjacent to angle θ =AB = 1k


Side opposite to angle θ =AC = k√3


where, k is any positive integer


Firstly we have to find the value of BC.


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


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


(1k)2 + (√3k)2 = (BC)2


(BC)2 = 1 k2 +3 k2


(BC)2 = 4 k2


BC =2 k2


BC =±2k


But side BC can’t be negative. So, BC = 2k


Now, we will find the sin θ and cos θ



Side opposite to angle θ = AC = k√3


and Hypotenuse = BC = 2k


So


Now, we know that,



Side adjacent to angle θ = AB =1k


Hypotenuse = BC =2k


So,


Now, LHS





= RHS


Hence Proved


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