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)`

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 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 tanC is

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

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 respective values of tan A, tan B and tanC are

If A(1,-1,2),B(2,1,-1)C(3,-1,2) are the vertices of a triangle then the area of triangle ABC is (A) sqrt(12) (B) sqrt(3) (C) sqrt(5) (D) sqrt(13)

4^(5log_(4)(sqrt(2)(3-sqrt(6)))-6log_(8)(sqrt(3)-sqrt(2)))

If sqrt(2) cos A=cosB+cos^(3)B, and sqrt(2)sinA=sinB-sin^(3)B then sin(A-B)=

In Delta ABC if sin B cos C=(sqrt(3)-1)/(sqrt(3)) and sin C cos B=(1)/(sqrt(3)), then the triangle is