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If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(...

If `sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi,` then the value of `k` is (a)1 (b) `-1/(sqrt(2))` (c) `1/(sqrt(2))` (d) non of these

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

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  2. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

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  3. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

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  4. The value of (lim)(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (...

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  5. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

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  6. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

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  7. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

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  8. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

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  9. The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is (a)1...

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  10. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are ...

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  11. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

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  12. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

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  13. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

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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. Which of the following quantities is/are positive? (a)"cos"(tan^(-1)(t...

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  16. Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-...

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  17. If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-....

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  18. If we consider only the principal values then the value inverse trigon...

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  19. The number of real solution of the equation sqrt(1+cos2x)=sqrt2 sin^(-...

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

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