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Find the value of tan ( 1/2 cos ^(-1) . ...

Find the value of `tan ( 1/2 cos ^(-1) . sqrt5/3)`

A

`(3+sqrt5)/(2)`

B

`(3-sqrt5)/(2)`

C

`(sqrt5)/(6)`

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. Range of tan^(-1)((2x)/(1+x^2)) is [-pi/4,pi/4] (b) (-pi/2,pi/2) (-p...

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  2. Let f(x)=cot^(-1)x+ "cos" ec^(-1)x.Then f(x) is real for

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  3. Find the value of tan ( 1/2 cos ^(-1) . sqrt5/3)

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  4. Find the domain and range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x.

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  5. If sin^(-1) x = tan^(-1)ym what is the value of (1)/(x^(2))-(1)/(y^(2)...

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  6. If "sin"^(-1)(x^2-7x+12)=npi, AAn epsilon I, then x=

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  7. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

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  8. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

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  9. sec^(-1)("sin"^2x) is well- defined if and only if

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  10. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

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  11. Find domain for, f(x)=cos^(-1)[x].

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  12. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

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  13. Let x1 and x2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6...

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

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

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

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

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

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

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

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