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Given f(x)=tan ^-1(cot x)+cot ^-1(tan x...

Given `f(x)=tan ^-1(cot x)+cot ^-1(tan x),(pi/2 lt x lt pi)` , then `|f^prime((2 pi)/3)-f^prime((5 pi)/6)|` is equal to

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Question Bank
  1. Find the number of points x in[-pi/2, (3 pi)/2] satisfying the equ...

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  2. If the equation sin ^-1(x^2+x+1)+cos ^-1(lambda x+1)=pi/2 has exactly ...

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  3. Number of values of x satisfying the equation cos ^-1(x^2-.5 x+6)=...

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  4. Given f(x)=tan ^-1(cot x)+cot ^-1(tan x),(pi/2 lt x lt pi) , then ...

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  5. If all the roots of the equation x^3-3 x=0 satisfy the equation (alpha...

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  6. If the solution set of inequality (cosec^-1 x^2)-2 cosec^-1 x ge pi/6(...

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  7. Find the sum of the values of x satisfying the equation tan ^-1((2 ...

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  8. Number of values of x satisfying the equation cos ((4 pi)/3-cos ^-1...

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  9. If the value of expression sin ^-1(sin 2013^(circ))+cos ^-1(cos.2013^...

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  10. Let f:[0,3 pi] rarr[-pi/2, pi/2] be defined by f(x)=sin ^-1(sin x)...

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  11. function f(x)=(arccot x/2+operatornamearccot x/3)/(arctan x/2+arctan ...

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  12. If m and M are the least and the greatest value of (cos ^-1 x)^2...

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  13. Solution of the equation cot (overset (4) underset (r =1) sum cot ^-1...

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  14. If the equation sin ^-1 x=cosec^-1 x is satisfied for alpha and beta, ...

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  15. Let f(x)=sin ^5 x-cos ^2 x and g(x)=cot ^-1(x^2+x+1) . Number of...

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  16. The value of 3 sin (1/2 arc cos 1/9) +4 cos (1/2 arc cos 1/8) equal t...

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  17. If alpha=sin (sin ^-1 (1)/(sqrt(3)) beta=cos (cos ^-1(1/sqrt5)-sin ^-1...

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  18. Number of integers in the domain of cos ^-1(log 2(x/3)) is

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  19. Let x=tan ^-1(tan 2)+tan (tan ^-1 2), then [x]+sgn(x) is equal ...

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  20. If underset(i=1)overset(10)sum(cos ^-1 xi+cos ^-1 y1)=20 pi, then th...

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