question_answer

Consider the following statements.

Assertion : In any triangle, \[a\cos A+b\cos B+c\cos C\le s.\]

Reason (R):In any triangle, \[\sin \,\,\left( \frac{A}{2} \right)\sin \left( \frac{B}{2} \right)\sin \left( \frac{C}{2} \right)\le \frac{1}{8}\]

Then, which of the following is correct?

A)  Both A and R are true and R is the correct explanation of A.

B)  Both A and R are true but R is not the correct explanation of A.

C)  A is true and R is false.

D)  A is false but R is true.