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Find the range of the function f(x)=(sin...

Find the range of the function `f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3dot`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the number of positive integral solution of the equation tan^(-1)...

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  2. Find all values of k for which there is a triangle whose angles have m...

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  3. Find the range of the function f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3dot

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  4. Q.34 Q.34 Show that the roots r,s and t of the cubic Show that the roo...

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  5. The number of solutions of the equation |y|= cos x and y = cot^-1 (cot...

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  6. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

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  7. Find the set of values of 'a' for which the equation 2cos^-1 x = a+a^2...

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  8. The value of cos^(-1)(-1)-sin^(-1)(1) is: a. pi b. pi/2 c. (3pi)/2 d. ...

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  9. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

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  10. If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

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  11. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

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  12. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

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  13. If x, y, z are in A.P. and t a n^(-1)x ,""t a n^(-1)y""a n d""t a n...

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  14. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

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  15. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

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  16. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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  17. If"sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

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  18. The value of the lim(n->oo)tan{sum(r=1)^ntan^(- 1)(1/(2r^2))} is equal...

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  19. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

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  20. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

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