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For the principal values, evaluate each of the following: `tan^(-1){2cos(2sin^(-1)(1/2))}` `"cot"[sin^(-1){cos(tan^(-1)1)}]`

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`tan^(-1){2cos(2sin^(-1)(1/2))}`
`=tan^(-1)[2 cos((2pi)/6)]`
`=tan^(-1)(2 cos(pi/3))`
`=tan^(-1)(2xx 1/2)`
`=tan^(-1)1`
`=pi/4`
...
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  2. Find the principal value of tan^(-1){cos(3pi)/2}

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  11. Evaluate: tan^(-1)1+cos^(-1)(-1/2)+sin^(-1)(-1/2)

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  12. tan^(- 1)(-1/(sqrt(3)))+tan^(- 1)(-sqrt(3))+tan^(- 1)(sin(-pi/2))

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  13. Evaluate: tan^(-1)(tan((5pi)/6))+cos^(-1){cos(((13pi)/6))}

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  14. Find the principal value of sec^(-1)(2)

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  15. Find the principal value of sec^(-1)((-2)/(sqrt(3)))

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  16. Find the set of values of sec^(-1)((sqrt(3))/2)

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

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  18. Find the domain of sec^(-1)(2x+1) .

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  19. Find the principal values of each of the following: sec^(-1)(-sqrt(...

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  20. Find the principal values of each of the following: sec^(-1)(2sin((3...

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