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Find the principal value of each of the following: (i) `sin^(-1)(-(sqrt(3))/2)` (ii) `sin^(-1)(cos (pi/3))` (iii) `sin^(-1)((sqrt(3)-1)/(2sqrt(2)))`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Let x ,\ y ,\ z in [-1,\ 1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=(3...

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  2. Let x ,\ y ,\ z in [-1,\ 1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=(3...

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

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  4. Find the principal value of each of the following: sin^(-1)((sqrt(3)...

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  5. sin^(-1)(1/2)-2sin^(-1)(1/(sqrt(2)))

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  6. sin^(-1){cos(sin^(-1)(sqrt(3)/2))}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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