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Find the value of 4tan^(-1)(1/5)-tan^(-1...

Find the value of `4tan^(-1)(1/5)-tan^(-1)(1/(70))+tan^(-1)(1/(99))`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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  2. If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-...

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  3. Find the value of 4tan^(-1)(1/5)-tan^(-1)(1/(70))+tan^(-1)(1/(99))

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  4. Find the value of underset(r = 0) overset(oo)sum tan^(-1) ((1)/(1 + r ...

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

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

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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 cos e c^(-1)(cosx) is defined.

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

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

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

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  12. Find the principal value of the following : cos e c^(-1)(2)

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  13. Column I, Column II (a)sin^(-1)x+x >0, (p) x<0 (b)cos^(-1)x-x >...

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

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  15. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^(sec^2(y))+1)=pi/2, the...

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

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

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  18. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

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  19. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

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  20. 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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