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For the principal values, evaluate the f...

For the principal values, evaluate the following: `sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3)))` `sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2))` `sin^(-1)[cos{2cos e c^(-1)(-2)}]` `cos e c^(-1)(2tan(11pi)/6)`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Find the set of values of "c o s e c"^(-1)((sqrt(3))/2)

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  2. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  3. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  4. Find the set of values of cot^(-1)(1) and cot^(-1)(-1)

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  5. Find the principal values of cot^(-1)sqrt(3) and cot^(-1)(-1)

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

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

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  8. Find the principal values of each of the following: cot^(-1)(-sqrt(...

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  9. Find the principal values of each of the following: (i) cot^(-1)(-...

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  10. Find the domain of cotx + cot^-1 x

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  11. Evaluate each of the following: (i) cot^(-1)(1/(sqrt(3)))-"cosec"^(-...

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  12. Evaluate each of the following: (i) "cosec"^(-1)(-2/(sqrt(3)))+2cot^...

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  13. Evaluate each of the following: sin^(-1)(sinpi/3) (ii) cos^(-1)(cos...

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  14. Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(...

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  15. Evaluate each of the following: (i)sin^(-1)(sin(-600^o)) (ii)\ cos^(...

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  16. Express each of the following in the simplest form: tan^(-1){sqrt((1...

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  17. Express each of the following in the simplest form: tan^(-1){(cosx)/...

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  18. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

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  19. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  20. Prove that: tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-...

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