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Find the domain of definition of f(x)...

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

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`y=cos ^(−1) (x ^2 −4)`
`cosy=x ^2 ...
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. For the principal values, evaluate each of the following: tan^(-1){2c...

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  15. For the principal values, evaluate each of the following: tan^(-1){2c...

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  16. What is greater, tan1 or tan^(-1)1?

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  17. Find the minimum value of n for which tan^(-1)(n/pi)>pi/4,n in Ndo...

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  18. Find the principal value of each of the following: tan^(-1)(1/(sqrt...

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  19. Find the principal value of each of the following: tan^(-1)(cos(pi/2...

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  20. For the principal value, evaluate tan^(-1)(-1)+cos^(-1)(-1/(sqrt(2)...

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