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If A+B+C=pi, then, find tan A + tan B ...

If `A+B+C=pi`, then, find
`tan A + tan B + B + tan C`

A

1

B

`tan A tan B + tan B tan C + tan C tan A`

C

`tan A tan B tan C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (6) ( MULTIPLE CHOICE QUESTIONS)
  1. If A+B+C=pi, then, find tan A + tan B + B + tan C

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  2. If A+B+C=180^(@), then sin2A+sin2B+sin2C=?

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  3. If A+B+C=pi, prove that : sin (B+C-A) + sin (C+A-B) + sin (A+B-C)=4sin...

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  4. (cos A)/(sin B sin C)+(cos B)/(sin C sin A)+(cos C)/(sin A sin B)=2

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  5. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

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  6. If A+B+C=pi, then cos2A+cos2B+cos2C=

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  7. If A+B+C=(3pi)/(2), then cos2A+cos2B+cos2C=?

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  8. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

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  9. In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to tanA/...

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  10. If A+B+C=pi, prove that : (sin 2A+sin 2B + sin 2C)/(sinA+sinB+sinC) = ...

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  11. (sin 2A+sin 2B + sin 2C)/(cos A + cos B + cos C-1) = 8 cos, A/2 cos, B...

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  12. if A+B+C=pi then sin^(2) A + sin^(2) B - sin^(2) C =

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  13. if A+B+C = pi then sin^(2)""(A)/(2)+sin^(2)""(B)/(2) + sin^(2)""(C )/...

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  14. If A+B+C=180^(@), then prove that cos^(2)(A)/(2)+cos^(2)(B)/(2)+cos^(2...

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  15. If alpha + beta + gamma, pi, then the value of sin ^(2) alpha + sin ^...

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  16. If alpha+beta+gamma=2pi, prove that : cos^2 alpha + cos^2 beta + cos^2...

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  17. In any triangle ABC, if ( sin A + sin B + sin C ) ( sin A + sin B - si...

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  18. If A,B,C are the angles of a triangle, then sin^(2) A + sin^(2) B + si...

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  19. cos^(2) A + cos^(2) B + cos^(2) C =

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  20. sin^(2) A + sin ^(2) B +sin^(2) C =

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