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Find the principal values of (a) sin^(...

Find the principal values of (a) `sin^(-1)(1/2)` (b) `sin^(-1)(-1/(sqrt(2)))`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

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  2. Find the principal values of (a) sin^(-1)((sqrt(3))/2) (b) sin^(-1)(...

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  3. Find the principal values of (a) sin^(-1)(1/2) (b) sin^(-1)(-1/(sqrt...

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  4. Find the value of sin^(-1)[cos{sin^(-1)(-(sqrt(3))/2)}] .

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  5. Find the domain of the function f(x)=sin^(-1)(2x-3) .

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  6. Find the domain of f(x)=sin^(-1)(-x^2)dot

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  7. Find the domain of f(x)=sin^(-1)x+cosxdot

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  8. Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

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

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

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

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

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

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

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

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

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

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

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

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

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