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

If `0 < cos^(-1)x < 1` and `1+sin(cos^(-1)x)+sin^2(cos^(-1)x)+sin^3(cos^(-1)x)....+oo=2,` then the value of `12 x^2` is____.

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. 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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  2. 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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  3. If 0 < cos^(-1)x < 1 and 1+sin(cos^(-1)x)+sin^2(cos^(-1)x)+sin^3(cos^...

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  4. The least value of (1+sec^(-1)x)(1+c a s^(-1)x) is

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

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

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  7. Solve the following in equality sin^(-1)xlt=cos^(-1)xdot

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

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  9. If a(1), a(2), a(3), …..a(n) is an arithmetic progression with common ...

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

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

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

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

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

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

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

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

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

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

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

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