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If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t ...

If `tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t h e n` `x+y+z-x y z=0` `x+y+z+x y z=0` `x y+y z+z x+1=0` `x y+y z+z x-1=0`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the sum of given below: 34 + 32 + 30 + … + 10

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  2. If x , y , z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1...

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  3. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t h e n x+y+z-x y z=0 x+...

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  4. If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+...

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  5. If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y...

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  6. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n (a) x^2+y^2+z^2+x y z=0 ...

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  7. If 0 < cos^-1(x) <1 and 1+sin(cos^(-1)x)+sin^2(cos^(-1)x)+sin^3(cos^(...

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  8. The least value of (1+sec^(-1)x)(1+cos^(-1)x) is

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  9. Find the value of cot^(-1)(3/4)+sin^(-1)(5/13)

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  10. If (x -1) (x^(2) + 1) gt 0, then find the value of sin((1)/(2) tan^(-1...

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  11. Solve sin^(-1)xlt=cos^(-1)xdot

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  12. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

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  13. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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

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

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

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

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

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

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

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