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Which of the following of the principal...

Which of the following of the principal value branch of `cos^(-1) x` ?

A

`[-(pi)/(2), (pi)/(2)]`

B

`(0,pi)`

C

`[0,pi]`

D

`(0,pi)-{pi/2}`

Text Solution

Verified by Experts

The correct Answer is:
C
We know, the principal value brach of `cos^(-1)x` is `[0,pi]`.
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NCERT EXEMPLAR-INVERSE TRIGONOMETRIC FUNCTIONS-Inverse Trigonometric Functions
  1. Show that: tan(1/2sin^(-1)3/4)=(4\ sqrt(-7))/3

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  2. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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  3. Which of the following of the principal value branch of cos^(-1)...

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  4. Which of the following is the principal value branch of cosec^(-1)x ?

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  5. If 3tan^(-1)x +cot^(-1)x=pi, then x equals to

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  6. The value of sin^(-1)(cos(33pi)/5) is (3pi)/5 (b) pi/(10) (c) pi/(10) ...

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  7. The domin of the function cos^(-1) (2x-1) is

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  8. The domain of the function defined by f(x) = sin^(-1)sqrt(x-1) is

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  9. If cos(sin^(-1)'2/5 + cos^(-1)x) = 0, then x is equal to

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  10. The value of sin[2tan^(-1)(0.75)] is

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  11. The value of cos^(-1)(cos ((3pi)/(2))) is

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  12. The value of 2sec^(-1) + 2 sin^(-1)(1/2) is

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  13. If tan^(-1) x + tan^(-1) y = (4pi)/(5), then cot^(-1) x + cot^(-1) y ...

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  14. If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((...

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  15. The value of cot[cos^(-1)(7/25)] is

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  16. The value of tan(1/2 cos^(-1)'2/(sqrt(5))) is

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  17. If |x| le 1, then 2tan^(-1)x + sin^(-1)((2x)/(1+x^(2))) is equal to

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  18. If cos^(-1) alpha + cos^(-1) beta + cos^(-1) gamma = 3pi, then alpha (...

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  19. The number of real solutions of the equation sqrt(1+cos2x) = sqrt(2)...

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  20. If cos^(-1)x gt sin^(-1) x, then

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