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Tan (A-B) + Tan (B-C) + Tan (C-A)...

Tan (A-B) + Tan (B-C) + Tan (C-A)

A

TanA TanB TanC

B

CotA CotB CotC

C

Tan(A-B) Tan(B-C) Tan(C-A)

D

0

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The correct Answer is:
C
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AAKASH SERIES-COMPOUND ANGLES-EXERCISE - II
  1. If Tan40^(@) + 2 Tan 10^(@) = Cotx then x =

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  2. If A+B+C= 360^(@) " then " cot""(A)/(4)+ cot ""(B)/(4) + cot ""(C)/(4)...

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  3. Tan (A-B) + Tan (B-C) + Tan (C-A)

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  4. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  5. If alpha + beta + lambda = (pi)/(2) and cot alpha, cot beta, cot lamb...

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  6. If Sin x Cosy = 1/4 and 3Tanx = 4 Tany then Sin (x - y) =

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  7. If Cot A Cot B = 2 & Cos (A+B) = 3/5 then Sin A Sin B

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  8. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

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  9. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

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  10. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

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  11. If (CosA)/(CosB)=nand(SinA)/(SinB)=m then (m^(2) - n^(2)) Sin^(2) B =

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  12. If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then ...

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  13. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

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  14. If sin (120^(@) - alpha) = sin (120^(@) - beta) and 0 lt alpha,beta lt...

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  15. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

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  16. In a Delta ABC , if the angle C is obtuse, then tan A ta B =

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  17. In a triangle ABC, fi Tan A + Tan B + Tan C = 6 and Tan A Tan B = 2 th...

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  18. In Dleta ABC if Tan B = (2Sin ASinC)/(Sin(A+C)) then TanA, TanB, TanC ...

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  19. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

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  20. Tan A + Tan B + Tan C - (sin(A+B+C))/(cosAcosBcosC)=

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