In triangle ABC prove that cot A/2+cot B/2+cot c/2=a+b+c/b+c-a cot (B/2)= a+b+c/ a+b-c cot(C/2)
Samaira Shah , 7 Years ago
Grade 11
Trigonometry> In triangle ABC prove that cot A/2+cot B/...
2 Answers
Saurabh Koranglekar
Last Activity: 5 Years ago
Dear student
Please write the Question in a standard form or attach an image of the question
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Vikas TU
Last Activity: 4 Years ago
Dear student
Dear student
A/2 + B/2 = pi/2 - C/2
Cot(A/2+ B/2) = Cot(pi/2-C/2 )
= tanC/2 = 1/Cot(c/2)
Apply cot(x+y) = (Cotxcoty-1)/(cotx+coty)
A/2 + B/2 = pi/2 - C/2
Cot(A/2+ B/2) = Cot(pi/2-C/2 )
= tanC/2 = 1/Cot(c/2)
Apply cot(x+y) = (Cotxcoty-1)/(cotx+coty)
cot A/2+cot B/2+cot c/2=a+b+c/b+c-a cot (B/2)= a+b+c/ a+b-c cot(C/2)
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