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

If `sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2)p` then the value of `x^(100)+y^(100)+z^(100)-(3)/(x^(101)+y^(101)+z^(101))`

A

0

B

1

C

2

D

3

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The correct Answer is:
C
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)
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  2. Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x...

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  3. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2)p then the value of x^(100)+...

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  5. Find the real solutions of the eqution tan^(-1)sqrt(x(x+1))+sin^(-1)sq...

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  6. The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ...

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  7. The sum of the infinite series "sin"^(-1)((1)/(sqrt2))+"sin"^(-1)((s...

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  8. If cos^(-1)x-"cos"^(-1)y/2=alpha, then 4x^(2)-4xycos alpha+y^(2) is eq...

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  9. 5cos^(-1)((1-x^(2))/(1+x^(2)))+7sin^(-1)((2x)/(1+x^(2)))-4tan^(-1)((2x...

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  10. If alpha="sin"^(-1)("cos"("sin"^(-1)x)) and beta="cos"^(-1)("sin"("cos...

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  11. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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

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  13. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

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  14. If 1/2"sin"^(-1)(2x)/(1+x^2)+1/2"cos"^(-1)(1-y^2)/(1+y^2)+1/3"tan"^(-1...

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

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  16. If A="tan"^(-1)((xsqrt3)/(2K-x)) and B="tan"^(-1)((2x-K)/(Ksqrt3)), th...

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  17. If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...

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  18. Find x satisfying [tan^(-1)x]+[cos^(-1)x]=2, where [] represents the g...

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  19. Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

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  20. The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)...

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