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cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^...

`cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^(-1)x`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the value of underset(r = 0) overset(oo)sum tan^(-1) ((1)/(1 + r ...

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  2. If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48...

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  3. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...

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

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

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  6. Find the value of x for which cos e c^(-1)(cosx) is defined.

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

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

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  9. Solve sin^(-1)x >-1

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  10. Find the principal value of the following (i)cos e c^(-1)(2) (ii) ta...

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  11. Column I, Column II sin^(-1)x+x >0,for ,p. x<0 cos^(-1)x-x >0,for ...

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  12. The product of all values of x satisfying the equation sin^(-1)cos((2x...

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  13. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5sin^(2theta)+1)=pi/2, th...

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  14. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 ...

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  15. The exhaustive set of value of a for which a-cot^(-1)3x=2tan^(-1)3x+co...

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  16. Solve sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=(pi)/(2)

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  17. The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=...

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  18. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

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  19. Find the value of x for which sec^(-1)x+sin^(-1)x=pi/2dot

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  20. Solve the equation sqrt(|sin^(-1)|"cosx"||+|cos^(-1)|sinx||)=sin^(-1)|...

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