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Find the principal values of cot^(-1)sqr...

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

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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. Write the following functions in the simplest form: (i)tan^(-1){x/(s...

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