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The principal value of sin^(-1)(1/2) is...

The principal value of `sin^(-1)(1/2)` is

A

`(pi)/(3)`

B

`(pi)/(6)`

C

`(2pi)/(3)`

D

`(3 pi)/(2)`

Text Solution

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The correct Answer is:
D
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-TRIGONOMETRIC FUNCTIONS
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  2. If sin^(-1)x-cos^(-1)x=(pi)/(6), " then :" x=

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  3. The principal value of sin^(-1)(1/2) is

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  4. Find the principal value of: cos^(-1)(-1/2)

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  5. In Delta ABC, if angle A = 30^(@), angle B = 60^(@), then the ratio of...

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  6. In Delta ABC, if b^(2) + c^(2) - a^(2) = bc, then angle A = .

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  7. If polar co-ordinates of a point are ((3)/(4), (3pi)/(4)), then its Ca...

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  8. tan^(-1)(tan""(7pi)/(6))

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  9. If sin(sin ""^(-1) [(1)/(5)] + cos^(-1) x) = 1,then x is

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  10. Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

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  11. In any triangle ABC prove that: c cos B-bc cos A=a^2-b^2

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  12. In Delta ABC, if sin^(2)A + sin^(2)B = sin^(2)C, then show that a^(2) ...

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  13. The polar co-ordinates of the point whose cartesian co-ordinates are (...

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  14. Prove that 2 tan^(-1) ((3)/(4)) = tan^(-1) ((24)/(7))

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  15. Evaluate sin[cos^(-1) ((3)/(5))]

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  16. In Delta ABC, a = 3, b = 4 and sin A = (3)/(4), find angle B.

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  17. Find the principal solutions of cosec x = 2.

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  18. Find the general solutions of sin x - 1 = 0

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  19. Find the Cartesian co-ordinates of point whose polar co-ordinates are ...

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  20. In any A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b^2+c^2...

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