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If [sin^-1x]+[cos^-1x]=0, where x is a n...

If `[sin^-1x]+[cos^-1x]=0,` where `x` is a non negative real number and [.] denotes the greatest integer function, then complete set of values of x is -
(A) `(cos1 ,1)` (B) `(-1, cos1)` (C) `(sin1 , 1)` (D) `(cos1 , sin1)`

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  3. If [sin^-1x]+[cos^-1x]=0, where x is a non negative real number and [....

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  4. The values of the parameter alpha for which the function f(x) = 1 + al...

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  5. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

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  6. Consider two geometric progressions a1,a2,a3,......a0 & b1, b2, b3,......

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  7. At infinite dilution the molar conductance of Al^(+3) and SO(4)^(-2) i...

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  8. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen a. a...

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  9. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

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  10. Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5).

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  11. sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x , then roots of the equa...

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  12. Find the value of sin^(-1)(sin(33pi)/7)\

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  13. Find the value of cos^(-1)(cos(46pi)/7)

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  14. Find the value of tan^(-1)(tan((-33pi)/7))

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  15. Find the value of cot^(-1)(cot((-46 pi)/7))

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  16. Find the value of Sin ( tan^(-1) x)

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  17. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

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  18. Find the value of sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

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  19. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  20. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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