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

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

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the value of: `tan^(-1)(1)+cos^(-1)(-1/2)+sin^(-1)(-1/2)`

`=pi/4+(2pi)/3-pi/6`

`=(3pi+8pi-2pi)/12`

`=(9pi)/12`

`=(3pi)/4`
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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. For the principal value, evaluate tan^(-1)(-1)+cos^(-1)(-1/(sqrt(2)...

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  2. For the principal value, evaluate tan^(-1){2sin(4\ cos^(-1)(sqrt(3)...

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

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  4. Evaluate: tan^(- 1)(-1/(sqrt(3)))+tan^(- 1)(-sqrt(3))+tan^(- 1)(sin(-p...

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

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

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

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

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

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

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

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

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  13. Find the principal value of tan^(-1)sqrt(3)-sec^(-1)(-2)

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

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

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

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

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  18. Find the principal value of "c o s e c"^(-1)(-2) .

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  19. For the principal values, evaluate the following: (1)cot^(-1)(-1)+cos ...

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  20. For the principal values, evaluate each of the following: tan^(-1)sqr...

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