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The value of k(k >0) such that the l...

The value of `k(k >0)` such that the length of the longest interval in which the function `f(x)=sin^(-1)|sink x|+cos^(-1)(cosk x)` is constant is `pi/4` is/ are (a)8 (b) 4 (c) 12 (d) 16

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ ...

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  2. If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= (a)2sqrt(3)a (b)...

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  3. The value of k(k >0) such that the length of the longest interval ...

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  4. Which of the following pairs of function/functions has same graph? y=...

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  5. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

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  6. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

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  7. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

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

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  9. If x&lt;0,t h e ntan^(-1)x is equal to

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  10. If -1&lt; x &lt; 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b)...

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  11. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4...

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  12. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+2x y z=1 2...

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  13. If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^...

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  14. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,forx in (-pi/2,(3pi)/2...

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  15. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

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  16. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

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

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  18. The range of the values of p for which the equation sin cos^(-1) ( co...

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  19. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

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  20. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

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