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Find the principal value of each of the following: `tan^(-1)(cos(pi/2))` (ii) `tan^(-1)((2cos((2pi)/3))`

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`tan^(-1)(cos(pi/2))`
`tan^(-1)(0)=>0`
ii) `tan^(-1)(2cos((2pi)/3))`
`=tan^(-1)(2 cos(pi- (pi/3))`
`=tan^(-1)(-2 xx(1/2))`
`=-pi/4`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  3. Find the principal value of each of the following: tan^(-1)(cos(pi/2...

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

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

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

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

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

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

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

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

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

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

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  16. For the principal value, evaluate tan^(-1)sqrt(3)-sec^(-1)(-2)

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  17. For the principal value, evaluate sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2...

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  18. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

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  19. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

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  20. Find the principal values of "c o s e c"^(-1)(2) and "c o s e c"^(-...

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