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If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, the...

If `sin^(-1)a+sin^(-1)b+sin^(-1)c=pi,` then the value of `asqrt((1-a^2))+bsqrt((1-b^2))+sqrt((1-c^2))` will be `2a b c` (b) `a b c` (c) `1/2a b c` (d) `1/3a b c`

A

`a +b+c`

B

`a^(2) b^(2) c^(2) `

C

2abc

D

4abc

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If A+B+C=pi , prove that : sin^2, A/2 + sin^2, B/2 -sin^2, C/2 =1-2 co...

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  20. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is

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