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If (1-sinA)(1-sinB)(1-sinC)=1+sinA×sinB×sinC so prove that every side of value is cosA×cosB×cosC

If (1-sinA)(1-sinB)(1-sinC)=1+sinA×sinB×sinC so prove that every side of value is cosA×cosB×cosC

Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

More information is required for the question

Regards
Devendra singh
13 Points
3 years ago
Let (1-sinA) (1-sinB) (1-sinC) =(1+sinA) (1+sinB) (1+sinC) =k
(1+sinA) (1+sinB) (1+sinC) =k........ (1) 
(1-sinA) (1-sinB) (1-sinC) =k........ (2) 
Multiply 1 and 2
(I-sin2A) (1-sin2B) (1-sin2C) = k2
(Cos2A) Cos2B.cos²C= k2
cosAcosBcosC= k
Hence proved. 

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