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Prove that: a(cosb.cosc+cosa)=b(cosc.cosa+cosb)=c(cosa.cosb+cosc)

Prove that: a(cosb.cosc+cosa)=b(cosc.cosa+cosb)=c(cosa.cosb+cosc)

Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

There must be more information about the question, kindly upload complete question

Regards
Shreyash Kumar
28 Points
9 months ago
a(cosB.cosC+cosA)
a/2 [cos(B+C)+cos(B-C)-2cos(B+C)]
a/2[cos(B-C)-cos(B+C)]
a[sinB.sinC]
ksinA.sinB.sinC
b[sinA.sinC]
b/2[cos(A-C)-cos(A+C)]
Adding and Subtracting cos(A+C) inside parenthesis
b/2[cos(A+C)+cos(A-C)-2cos(A+C)]
b[cosA.cosC-(-cosB)]
b[cosA.cosC+cosB]

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