
Grade 12IIT JEE Entrance Exam
In a triangle ABC, Prove that a3cos(B-C)+b3cos(C-A)+c3cos(A-B)=3abc.
In a triangle ABC, Prove that a3cos(B-C)+b3cos(C-A)+c3cos(A-B)=3abc.

Let S={x:x belongs to R(√3+√2)^(x^2-4) - (√3-√2)^(x^2-4)=10}. Then n(S) is equal to-
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