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If : cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, ...

If : `cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, " then :" x (y+z)+y(z+x)+z(x+y)=`

A

0

B

6

C

1

D

12

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The correct Answer is:
C
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

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  2. tan((1)/(2).cos^(-1).(2)/(sqrt(5)))=

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  3. If : cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, " then :" x (y+z)+y(z+x)+z(x+y...

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  4. If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

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  5. If tan^(-1)(a/x) + tan^(-1)(b/x) =pi/2, then: x=

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  6. If y = cot^(-1)(sqrt(tanalpha))-tan^(-1) (sqrt(tanalpha)), " than: " t...

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  7. sin{cot^(-1)[cos(tan^(-1)x)]}=....

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  8. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

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  9. If sin^(-1)x-cos^(-1)x=(pi)/(6), " then :" x=

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  10. tan^-1((x+1)/(x-1))+tan^-1((x-1)/x)=tan^-1(-7)

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  11. sec^(2)(tan^(-1)2) +"cosec"^(2)(cot^(-1)3)=

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  12. If sin^(-1)x+cot^(-1)(1/2)=(pi)/(2), " then : " x=

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  13. sin{tan^(-1)[(1-x^(2))/(2x)]+cos^(-1)[(1-x^(2))/(1+x^(2))]}=

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  14. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

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  15. If tan^(-1) 3 +tan^(-1)x=tan^(-1)87 then x =

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  16. Solve for x: tan^-1(x+1)+tan^-1(x-1)=tan^-1(8/31)

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  17. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

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  18. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi/2 is

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  19. If sin^(-1)x=(pi)/(5) " for some x"in(-1,1) , "then : "cos^(-1)x=....

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  20. Simplify the following: Evaluate tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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