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

Find the domain of `f(x)=sin^(-1)x+cosx`

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The domain of `cos x` is `R` and the domain of `sin^(−1)` is `[−1,1]`.
`therefore` The domain of `f(x)=cosx+sin^(−1)x` is `R cap [−1,1] = [−1,1]`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  2. Find the domain of f(x)=sin^(-1)(-x^2)dot

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  3. Find the domain of f(x)=sin^(-1)x+cosx

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

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

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

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

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

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

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  10. If tan^(-1)x = y then

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

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

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

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

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

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

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

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

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

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

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