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sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is tr...

`sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x` is true if `x in [0,\ 1]\ ` b. `[-1/(sqrt(2)),1/(sqrt(2))]` c. `[-1/2,1/2]` d. `[-(sqrt(3))/2,(sqrt(3))/2]`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sin^-1x+ cot^-1 (1/2)= pi/2 then x is (A) 0 (B) 1/sqrt(5) (C) 2/sqr...

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  2. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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  3. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in [0,\ 1]\ b. [-1/(...

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  4. Domain of the explicit from of the function y represented implicity by...

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  5. If cos^(-1) x - cos^(-1).(y)/(2) = alpha, then 4x^(2) - 4xy cos alpha ...

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  6. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^...

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  7. The solution of the inequality (tan^(-1)x)^2-3tan^(-1)x+2geq0 is- a.(-...

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  8. The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are eq...

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  9. For the equation 2x=tan(2tan^(-1)a)+2 t a n(tan^(-1)a+tan^(-1)a^3) , w...

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  10. Which of the following pairs of function/functions has same graph? y=...

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  11. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

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  12. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

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

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

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

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

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

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

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

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

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