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Solve for x if (cot^(-1)x)^2-3(cot^(-1)x...

Solve for `x` if `(cot^(-1)x)^2-3(cot^(-1)x)+2>0`

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`(cot^(-1) x - 1) (cot^(-1) x -2) gt 0` ltrbgt `rArr cot^(-1) x lt 1 " or " cot^(-1) x gt 2`
`rArr gt cot 1 " or " x lt cot2 ( :' cot^(-1) x " is a decrasing function")`
`rArr x lt cot 2 " or " x gt cot 1`
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Question Bank
  1. Solve for x if (cot^(-1)x)^2-3(cot^(-1)x)+2>0

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  2. If alpha and beta are the two zeroes of the equation 3 cos ^-1(...

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  3. If log pi x gt 0 then the absolute value of log 1/pi(sin ^-1 (2 x)/...

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  4. If sin ^-1(sin 4)^-1+cos ^-1(cos 8)+tan ^-1(tan 6)+cot ^-1 .(cot 10)=...

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  5. Total number of ordered pairs (x, y) satisfying |y|=cos x and y=sin...

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  6. Find the number of points x in[-pi/2, (3 pi)/2] satisfying the equ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  21. 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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