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The sides of a triangle inscribed in a given circle subtend angles `alpha, beta, gamma` at the centre then minimum value of Arithmetic mean of `cos(alpha+pi//2), cos beta+pi//2)cos (gamma+pi//2)`

A

`(sqrt(3))/(2)`

B

`(2pi)/(3)`

C

`(sqrt(2))/(3)`

D

`-(sqrt(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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