Q. 245.0( 8 Votes )

If θ1, θ2, θ3, …, θn are in AP, whose common difference is d, show that

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


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses