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If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/z...

If `sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/z` then the value of `sum((x^(201)+y^(201))/(x^(603)+y^(603))).((x^(402)+y^(402))/(x^(804)+y^(804)))=`

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. The range of Sin^(-1)x-Cos^(-1)x is

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  2. The values of x satisfying sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x is/are

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  3. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/z then the value of sum((x^(201...

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  4. If n in N, sum(k=1)^(n)sin^(-1(x(k))=(npi)/2 then the value of sum(k=1...

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  5. If n in N, sum(k=1)^(n)cos^(-1)(x(k))=npi then the value of sum(k=1)^(...

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  6. "Tan"^(-1)(cosx)/(1+sinx)=

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  7. Tan^(-1)[(sqrt(1+sinx)-sqrt(1-sinx))/(sqrt(1+sinx)+sqrt(1-sinx))]=

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  8. tan[1/2cos^(-1)((sqrt(5))/3)]=

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  9. sin^(-1)(sqrt(2)sin theta)+sin^(-1)(sqrt(cos 2 theta))=

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  10. If u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan^(-1)(sqrt(cos 2 theta)), then...

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

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  12. 2"tan"^(-1)1/5+"tan"^(-1)1/7+2"tan"^(-1)1/8=

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  13. "tan"^(-1)5/6+1/2"tan"^(-1)11/60=

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  14. "tan"^(-1)(5/12)+sin^(-1)(24/25)=cos^(-1)(x) implies x=

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  15. In DeltaABCif C is a right angle then tan^(-1)(a/(b+c))+tan^(-1)(b/(c+...

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  16. tan[tan^(-1)(1/(a+b))+tan^(-1)(b/(a^(2)+ab+1))]=

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  17. sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

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  18. IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(...

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  19. "tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=

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  20. Statement: I sin^(-1)x=x has only one solution Statement II: cos^(-1...

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