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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

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

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  2. If 0ltxlt1, then "tan"^(-1)(sqrt(1-x^(2)))/(1+x) is equal to

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

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  4. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

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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. Sum of infinite terms of the series cos^(-1) ( 1^(2) + 3/4) + cot^(-...

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  7. If the numerical value of tan(cos^(-1)((4)/(5))+tan^(-1)((2)/(3)))" i...

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

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

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  10. Solve: sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x

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

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  12. sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

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

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

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

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

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  17. Statement I is True: Statement II is True; Statement II is a correct ...

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  18. Statement I is True: Statement II is True; Statement II is a correct ...

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  19. : Find the value of cot (tan^-1 α + cot^-1 α).

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  20. Determine the principal value of cos^-1( -1/2).

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