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Find the principal values of the followi...

Find the principal values of the following :
`sin^(-1)(-1)`

Text Solution

Verified by Experts

The correct Answer is:
`-pi/2`
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KUMAR PRAKASHAN-INVERSE TRIGONOMETRIC FUNCTIONS-PRACTICE WORK
  1. Find the principal values of the following : sin^(-1)(-1)

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  2. Find the principal values of the following : sec^(-1)(sqrt2)

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  3. Find the principal values of the following : tan^(-1)(sqrt3)

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  4. Find the principal values of the following : cosec^(-1)(-1)

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  5. Find the principal values of the following : cos^(-1)0

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  6. Find the principal values of the following : tan^(-1)(-1/sqrt3)

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  7. Find the principal values of the following : cot^(-1)(-1/sqrt3)

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  8. Find the principal values of the following : cos^(-1)(-1)

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  9. Find the principal values of the following : tan^(-1)("tan"(3pi)/4)

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  10. Find the principal values of the following : sin^(-1)["sin"(2pi)/3]

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  11. Find the values of the followings : sin^(-1)(-1/2)+cos^(-1)(-sqrt3/2...

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  12. Find the values of the followings : sin^(-1)(1/sqrt2)-3"sin"^(-1)sqr...

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  13. Find the values of the followings : tan^(-1)(1)+cos^(-1)(-1/sqrt2)

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  14. Prove the following : sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,x in[-1/s...

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  15. Prove the following : "tan"^(-1)2/11+"tan"^(-1)7/24="tan"^(-1)1/2

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  16. Prove the following : "tan"^(-1)1/4+"tan"^(-1)2/9="tan"^(-1)1/2

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  17. Write the following functions in the simplest from : tan^(-1)((cosx)...

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  18. Write the following functions in the simplest from : sin^(-1)(2xsqrt...

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  19. Write the following functions in the simplest from : sin^(-1)(x^(2)s...

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  20. Write the following functions in the simplest from : cot^(-1)(sqrt(1...

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