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

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

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`cos^(-1) x gt cos^(-1) x^(2)`
or `x lt x^(2)` ( `:' cos^(-1)` is decreasing)
or `x^(2) - x gt 0`
or `x(x -1) gt0`
`rArr x in [-1, 0)`
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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Solve sin^(-1)x > -1

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

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

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  5. Find the value of x for which the following expression are defined si...

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

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

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

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

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

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

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

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

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  14. If cos(2sin^(-1)x)=1/9, then find the values of xdot

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

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

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

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  18. Find the number of solution of the equation "cos"(cos^(-1)x)=cos e c(c...

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

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  20. Solve sin^(-1) (sin 6x) = x, x in [0,pi]

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