if a,b,c are in H.P., then cosecA(cosecA+cotA),cosecB(cosecB+cotB),cosecB(cosecC+cotC)
sajid khan , 5 Years ago
Grade 12th pass
Algebra> if a,b,c are in H.P., then cosecA(cosecA+...
2 AnswersVikas TU
Last Activity: 5 Years ago
Dear student
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Aditya Gupta
Last Activity: 5 Years ago
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 :)
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