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If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)...

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

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`((sin ^(−1) x) ^2 +(sin ^(−1) y) ^2 ...
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Find the domain of each of the following functions: (i) f(x)=sin^(-...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the principal value of each of the following: cos^(-1)(sin(4pi...

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  15. For the principal values, evaluate each of the following : cos^(-1)...

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  16. For the principal values, evaluate each of the following : sin^(-1)...

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

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

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

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  20. Find the principal value of tan^(-1){cos(3pi)/2}

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