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

`cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in`

A

`[ - (1)/(2), (1)/(2) ]`

B

`[ (1)/(2) , 1]`

C

`[ (1)/(2) , (3)/(2) ]`

D

`[ (3)/(2) , 2]`

Text Solution

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The correct Answer is:
C
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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. sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) - x) in [ - (k)/(2) , (k)/(2) ]...

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

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

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  6. 5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

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

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

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

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  12. 3 sin^(2) x -4 cos^(2) x in

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

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

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

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

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

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

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