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cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) i...

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

A

`sqrt2-1`

B

`1-sqrt2`

C

`(pi)/(4)`

D

`(3pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
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  2. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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