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The solution of the inequality (log)(1/2...

The solution of the inequality `(log)_(1/2sin^(-1)x >(log)_(1//2)cos^(-1)x` is `x in [(0,1)/(sqrt(2))]` (b) `x in [1/(sqrt(2)),1]` `x in ((0,1)/(sqrt(2)))` (d) none of these

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`log_(1/2)sin^(-1)x>log_(1/2)cos^(-1)x`
`cos^(-1)x>sin^(-1)x`
`cosx>pi/2-cosx`
`2cosx>pi/2`
`cosx>pi/4`
`0ltx<1/sqrt2`.
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
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  9. Find the area bounded by y=sin^(-1)(sinx) and x=a xi sforx in [0,100pi...

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  10. Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

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

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  12. Find the number of solution of 2tan^(-1)(tanx)=6-xdot

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  13. Find the value of sin(1/4cos^(-1)((-1)/9))

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

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  15. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

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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. Simplify sincot^(-1)tancos^(-1)x , x >0

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  18. Find tan^(-1)x/(sqrt(a^2-x^2)) in terms of sin^(-1) where x in (0, a)d...

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  19. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n th...

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  20. If 2tan^(-1)x+sin^(-1)(2x)/(1+x^2) is independent of x , then x >1 (b...

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