Grade 12th passTrigonometry
IF A+B+C=180,prove that (cos A/(sinB sinC)) +( cosB/(sinC sinA)) + (cosC/(sinA sin B))=2
IF A+B+C=180,prove that (cos A/(sinB sinC)) +( cosB/(sinC sinA)) + (cosC/(sinA sin B))=2
1 Answer
Arun
Dear student
sin A cosA + sinB cosB + sinc cos C / sinA sinB sinC
sin 2A + sin 2B + sin2C / 2 sinA sinB sinC
but for a triangle
SIn 2A + sin 2B + sin2C = 4 sinA sinB sinC
hence its answer will be = 4/2 = 2
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