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sin[cot^(-1)(cot\ (17pi)/3)]...

`sin[cot^(-1)(cot\ (17pi)/3)]`

A

`(sqrt3)/(2)`

B

`(sqrt3)/(2)`

C

`(1)/(sqrt2)`

D

None of these

Text Solution

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The correct Answer is:
A
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. If "tan"^(-1)(-x)+"cos"^(-1)((-1)/(2))=pi/2, then the value of x is eq...

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  2. "cos"^(-1)("cos"((7pi)/(5)))=

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  3. sin[cot^(-1)(cot\ (17pi)/3)]

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  4. The principal values of cost^(-1)(-sin(7pi)/(6)) is

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  5. The value of underset(x to pi/2)limsqrt(("tan"x-"sin"("tan"^(-1)("tan"...

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  6. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

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  7. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) ...

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  8. The value of cos (1/2 cos^(-1) . 1/8) is equal to

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  9. The principal value of "sin"^(-1)("sin""(5pi)/(3)) is

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  10. Given that "sin"^(-1)("sin""(3pi)/(4))=(2pi)/(k),then k=

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  11. If underset(i=1)overset(n)sum cos^(-1) alpha(i)=0," then "underset(i=1...

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  12. Complete solution set of tan^2(sin^(-1)x)>1 is (-1,-1/(sqrt(2)))uu(1/(...

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  13. -(2pi)/(5) is the principal value of

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  14. Find the value of sin [ arc cos (- 1/2)]

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  15. The positive integral solution of "tan"^(-1)x+"cos"^(-1)(y)/(sqrt(1+...

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  16. If "tan"^(-1)(x+1)+cot^(-1)(x-1)="sin"^(-1) (4/5) + cos^(-1) (3/5), th...

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  17. If sin(cot^(-1)(x+1))=costan^(-1)x, then x=

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  18. sin(sin^(-1)((1)/(3))+sec^(-1)(3))+cos(tan^(-1)(1)/(2))+tan^(-1)2)=

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  19. Indicate the relation which can hold in their respective domain for in...

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  20. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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