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The number of real solutions of `tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+x+1)=pi/2` is `z` ero b. one`` c. two d. infinite

A

0

B

1

C

2

D

3

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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Section A: Domain, Range
  1. The value of cos (1/2 cos^(-1) . 1/8) is equal to

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  2. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

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  3. If xlt0, then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to

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  4. tan^-1a+tan^-1b, where a > 0, b>0, ab > 1, is equal to

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  5. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

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

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  7. if tan ^-1 (( sqrt (1+x^2)-1)/x) = pi/45 then:

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  8. If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4, then tan theta is...

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  9. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...

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  10. Find all possible values of p and q for which cos^-1 sqrt(p)+cos^-1 sq...

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  11. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

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  12. The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x s...

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  13. The value of x satisfying sin^-1x + sin^-1(1– x ) = cos^1 x are

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  14. The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi...

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  15. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  16. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  17. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) ...

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  18. Which one of the following correct?

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  19. If underset(i=1)overset(n)sum cos^(-1) alpha(i)=0," then "underset(i=1...

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  20. If sum(i=1)^(2n) sin^-1 xi = n pi then find the value of sum(i=1)^(...

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