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sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(...

`sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(-1) . (1-x^(2))/(1 + x^(2))]` is

A

1

B

0

C

`-1`

D

None of these

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  2. The value of cot^(pi)/(4)-2 cot^(-13) is

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  3. sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(-1) . (1-x^(2))/(1 + x^(2))] i...

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  4. If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 ...

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  5. If |cos^(-1) ((1-x^(2))/(1+x^(2)))| lt pi/3, then

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  6. The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec...

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  7. If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is

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  8. If tan^(-1)( (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

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  9. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

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  10. If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...

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  11. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

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  12. Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...

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  13. If sin^(-1) : [-1, 1] rarr [(pi)/(2), (3pi)/(2)] and cos^(-1) : [-1, 1...

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  14. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to 0 ...

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  15. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi/...

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  16. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

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  17. L e t|tan^(-1)xtan^(-1)2xtan^(-1)3xtan^(-1)3xtan^(-1)xtan^(-1)2xtan^(-...

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  18. If alpha is the only real root of the equation x^3 + bx^2 + cx + 1 = ...

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  19. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

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  20. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

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