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If sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1...

If `sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1)t=2pi` , then find the value of `x^2+y^2+z^2+t^2` .

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Find the domain of each of the following functions: f(x)=sin^(-1)x^...

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  2. Find the domain of each of the following functions: f(x)=sin^(-1)sqr...

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  3. If sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1)t=2pi , then find the value ...

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  4. If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value ...

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  5. Find the domain of cos^(-1)(2x-1)

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  6. Find the principal values of cos^(-1)((sqrt(3))/2) and cos^(-1)(-1...

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  7. Find the principal value of cos^(-1){sin"[cos^(-1)(1/2)]}

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  8. If x ,\ y ,\ z in [-1,1] such that cos^(-1)x+cos^(-1)y+cos^(-1)z=0 , f...

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  9. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then f...

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  10. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then...

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  11. Find the domain of definition of f(x)=cos^(-1)(x^2-4) .

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  12. Find the domain of f(x)=2cos^(-1)2x+sin^(-1)x .

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  13. Find the domain of f(x)=cos^(-1)x+cosx .

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  14. Find the principal value of each of the following: (i) cos^(-1)(-(sq...

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  15. Find the principal value of each of the following: (i) cos^(-1)(sin(...

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  16. For the principal values, evaluate each of the following : (i)cos^(-...

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  17. For the principal values, evaluate each of the following : (i)sin^(-...

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  18. Find the principal value of tan^(-1)(-sqrt(3))

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  19. Find the principal value of tan^(-1)(1)

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  20. Find the principal value of tan^(-1){sin(-pi/2)}

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