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Find the principal value of cosec^(-1)(-...

Find the principal value of `cosec^(-1)(-2/sqrt3)`.

A

`-pi/3`

B

`pi/3`

C

`pi/2`

D

`-pi/2`

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The correct Answer is:
A
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. Let x1 and x2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6...

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  2. The Range of the function y=((cos^(-1)(3x-1))/pi+1)^2 (1) [1,4] (2...

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  3. Find the principal value of cosec^(-1)(-2/sqrt3).

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  4. Find the principal value of sec^(-1)(2)

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  5. Principal value of "tan"^(-1)1+"cos"^(-1)((-1)/(2))+"sin"^(-1)((-1)/(2...

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  6. If "cos"^(-1)x> "sin"^(-1)x, then the set of all values of x is

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  7. "sin"^(-1)("sin" 5)>x^2-4x holds if

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  8. If x epsilon(7pi,8pi), then "tan"^(-1)sqrt((1-"cos" x)/(1+"cos" x))=

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  9. If "tan"^(-1)(-x)+"cos"^(-1)((-1)/(2))=pi/2, then the value of x is eq...

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

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

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

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

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

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

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

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

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

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

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

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