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The period of f(x) = sin x + [x], where ...

The period of `f(x) = sin x + [x]`, where `[x]` is fractional part of `x` is

A

`0`

B

`1`

C

`2pi`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PERIODICITY AND EXTEME VALUES-PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )
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  3. The minimum and maximum values of sin^(4) x + cos^(4) x are

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  4. The range of sin^(6) x + cos^(6) x

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  5. 16 sin x cosx cos 2x cos 4x cos 8x in

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  6. The minimum and maximum values of sin^(2) (60^(@)-x) + sin^(2) ( 60^(@...

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  7. sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) - x) in [ - (k)/(2) , (k)/(2) ]...

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  8. The extreme values of 4cos(x^(2)).cos((pi)/(3)+x^(2)).cos((pi)/(3)-x^...

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  9. For all values of theta, the values of 3-cos theta+cos (theta+(pi)/(3)...

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  10. 5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

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  11. A+B = 90^(@) rArr cos A cos B in

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  12. A+B = 90^(@) rArr sin A + sin Bin

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  13. The minimum and maximum values of 8 cos 3x - 15 sin3x are

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  14. The maximum value of (3 ) /( 5 sin x-12 cos x+19) is

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  15. cos5x=16 cos^(5) x -20 cos^(3) x +5 cos x in

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  16. 3 sin^(2) x -4 cos^(2) x in

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  17. Minimum value of 9 sec^(2) theta + 4 cosec^(2) theta + 7 is

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  18. If a le 3 cos x + 5 sin ( x - pi//6) le b for all x , then ( a, b) is

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  19. cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in

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  20. sin^(2) x + 4 sin x+5 in [k, 5k ] rArr k =

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  21. The least value of cos^(2) theta - 6 sin theta.cos theta+ 3 sin^(2) th...

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