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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-All Questions
  1. Solver sin^(-1) x gt -1

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  2. Solve cos^(-1)x >cos^(-1)x^2

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

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  4. Find the value of x for which the following expression are defined (...

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  5. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

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  6. Find the value of sin^(-1)(2^x) (ii) cos^(-1)sqrt(x^2-x+1) tan^(-1)(...

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  7. Find the range of f(x)=|3tan^(-1)x-cos^(-1)(0)|-cos^(-1)(-1)dot

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  8. Find the value of x for which sec^(-1)xsin^(-1)x=pi/2dot

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  9. If sin^(-1)(x^2+2x+2)+tan^(-1)(x^2-3x-k^2)>pi/2, then find the values ...

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  10. If cos^(-1)lambdacos^(-1)mu+cos^(-1)gamma=3pi, then find the value of ...

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  11. If sin^(-1)x1+sin^(-1)x2++sin^(-1)xnlt==(npi)/2,n in N ,n=2m+1, mgeq1...

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  12. Find x satisfying [tan^(-1)x]+[cos^(-1)x]=2, where [] represents the g...

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  13. If cos (2 sin^(-1) x) = (1)/(9), then find the value of x

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  14. Find the value of sin(1/2cot^(-1)(-3/4))

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  15. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  16. Solve sin^(-1)(1-x)-2s in^(-1)x=pi/2

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  17. Find the solutions of the equation cos(cos^-1 x) =cosec (cosec^-1x).

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  18. Find the principal values of the following (i) sin^(-1) (sin 1) (ii...

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  19. Solve sin^(-1)[((2x^2+4)/(1+x^2))]<pi-3

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  20. Find the area bounded by y sin^(-1) (sin x) and x-axis for x in [0, 10...

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