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Grade: 12th pass
        
if a,b,c are in H.P., then cosecA(cosecA+cotA),cosecB(cosecB+cotB),cosecB(cosecC+cotC)
one month ago

Answers : (2)

Vikas TU
9517 Points
							
Dear student 
Please complete the questio n , 
What do you want to ask is not clear. 
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Good Luck 
 
one month ago
Aditya Gupta
1730 Points
							
hello sajid, cosecA(cosecA+cotA),cosecB(cosecB+cotB),cosecC(cosecC+cotC) will be in AP if a, b, c are in HP.
the proof is quite lengthy, but can be solved by using the identity 
cosecx(cosecx+cotx)= (1+cosx)/sin^2x= 1/(1 – cosx),
and then employing the cosine rule, factorisation and rearrangements.
kindly approve :)
one month ago
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