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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-All Questions
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  2. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to ...

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  3. The solution of the inequality (log)(1/2sin^(-1)x >(log)(1//2)cos^(-1)...

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  4. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

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  5. If sin^(-1)x-cos^(-1)x=(pi)/(6),"then"

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  6. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi...

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  7. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

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

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

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

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

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

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

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

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

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

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  17. Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by

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  18. If the equation2^((2pi)/cos^(-1)x)-(a+1/2)2^((pi)/cos^(-1)x-a^2=0 has ...

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  19. Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/...

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  20. If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+ddotn terms, ...

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