Q. 244.9( 10 Votes )

# If θ1,

Answer :

Given: θ1, θ2, θ3,…, θn is A.P

θ2 – θ1 = θ3 – θ2 = θ4 – θ3 =…………= θn – θn-1 = d (Common Difference)

Now, Multiplying and dividing by sin d:  { sin(A - B) = sin A cos B - cos A sin B}    Similarly,  Take L.H.S.: Putting the value of (i), (ii) and (iii):   = R.H.S.

Hence Proved

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