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

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

A

1

B

2

C

3

D

4

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B
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AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)
  1. A+B = 90^(@) rArr cos A cos B in

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

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  3. The range of cos^(2) x + sin^(4) x is

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  4. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

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

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

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

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  8. 3 sin^(2) x -4 cos^(2) x in

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  9. The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x)...

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

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  11. The minimum value of the expression sin alpha + sin beta+sin lambda, w...

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

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

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

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

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

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  17. The minimum value of Sinx ((1-cos x)/(sin x) + (sin x)/( 1-cos x)) ...

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  18. If f(x) = 2+ cos^(2) x + sec^(2) x, its value always is

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

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  20. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

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