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Let x(1) " and " x(2) ( x(1) gt x(2)) be...

Let `x_(1) " and " x_(2) ( x_(1) gt x_(2))` be roots of the equation `sin^(-1) ( cos ( tan^(-1)( cosec ( cot^(-1)x)))) = pi/6 `, then

A

`beta`

B

`pi//2-beta`

C

`pi-beta`

D

`-beta`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  2. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  3. Let x(1) " and " x(2) ( x(1) gt x(2)) be roots of the equation sin^(-...

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  4. The value of cos(2cos^(-1)0.8) is

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  5. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  6. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

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  7. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

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  8. about to only mathematics

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  9. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx) -sqr...

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  10. The value of sin[cot^(-1){cos(tan^(-1) x)}] is

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  11. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4ta...

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  12. If A=tan^(-1)((x sqrt(3))/(2k-x)) and B= tan^(-1)((2x-k)/(k sqrt(3))),...

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  13. Solve sin^(-1) x + sin^(-1) (1 - x) = cos^(-1) x

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  14. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

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  15. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

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  16. sin^(-1)(sin10) is a+bpi then |a+b| is

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  17. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

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  18. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

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  19. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

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

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