If A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC=`(sqrt3-1)/8` and sinA.sinB.sinC=`(3+sqrt3)/8`The value of `tanA+tanB+tanC` is (A) `(3+sqrt(3)/(sqrt(3)-1))` (B) `(sqrt(3)+4/(sqrt(3)-1))` (C) `(6-sqrt(3)/(sqrt(3)-1))` (D) `(sqrt(3)+sqrt(2)/(sqrt(3)-1))`

If A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC= (sqrt3-1)/8 and sinA.sinB.sinC= (3+sqrt3)/8 The value of tanA+tanB+tanBtanC=tanC tanA is (A) 5-4sqrt(3) (B) 5+3sqrt(3) (C) 6+sqrt(3) (D) 6-sqrt(3)

In a Delta ABC , if cosA cos B cos C= (sqrt3-1)/(8) and sin A sin B sin C= (3+ sqrt3)/(8) , then The value of tan A tan B tanC is

If A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC= (sqrt3-1)/8 and sinA.sinB.sinC= (3+sqrt3)/8 The cubic equation whose roots are tanA, tanB, tanC is (A) x^3-(3+2sqrt(3))x^2+(5+4sqrt(3))x-(3+2sqrt(3))=0 (B) x^3-(3+-2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0 (C) x^3+(3+2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0 (D) x^3-(3+2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0

In a Delta ABC , if cosA cos B cos C= (sqrt3-1)/(8) and sin A sin B sin C= (3+ sqrt3)/(8) , then The value of tan A + tan B + tan C is

(sqrt(2)(2+sqrt(3)))/(sqrt(3)(sqrt(3)+1))-(sqrt(2)(2-sqrt(3)))/(sqrt(3)(sqrt(3)-1))

(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

(sqrt3+1)/(sqrt3-1)times(sqrt3+1)/(sqrt3+1)=?

The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is