If f ( x ) = cos ( x + α ) sin ( x + α ) sin ( β − γ ) cos ( x + β ) sin ( x + β ) sin ( γ − α ) cos ( x + γ ) sin ( x + γ ) sin ( α − β ) and f ( 2 ) = 6 , then find ∑ r = 1 25 f ( r )

Question

If f ( x ) = ​ cos ( x + α ) sin ( x + α ) sin ( β − γ ) ​ cos ( x + β ) sin ( x + β ) sin ( γ − α ) ​ cos ( x + γ ) sin ( x + γ ) sin ( α − β ) ​ ​ and f ( 2 ) = 6 , then find ∑ r = 1 25 ​ f ( r )

TestHub · Accepted Answer

Clearly f ′ ( x ) = 0 ∴ ​ f ( x ) = c = 5 ∴ ​ ∑ r = 1 25 ​ f ( r ) = ∑ r = 1 25 ​ 6 = 150 Ans. ​

Mathematics - Determinant Question with Solution | TestHub

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