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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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To solve the inequality \((\cot^{-1} x)^2 - 3(\cot^{-1} x) + 2 > 0\), we can follow these steps: ### Step 1: Let \( y = \cot^{-1} x \) We can rewrite the inequality in terms of \( y \): \[ y^2 - 3y + 2 > 0 \] ...
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CENGAGE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Illustration
  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. Sove [cot^(-1) x] + [cos^(-1) x] =0, where [.] denotes the greatest in...

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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) x + sin^(-1) x = (pi)/(2)

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  9. If sin^(-1) (x^(2) + 2x + 2) + tan^(-1) (x^(2) - 3x - k^(2)) gt (pi)/(...

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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)/(2) cot^(-1) (-(3)/(4)))

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  15. Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin...

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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) (sin 6x) = x, x in [0,pi]

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

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