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The minimum value of cos^(3) x+ cos^(3)...

The minimum value of ` cos^(3) x+ cos^(3) (120^(@) + x) + cos^(3) (120^(@) -x)` is

A

`-sqrt(3)//4`

B

`3//4`

C

`-3//4`

D

`sqrt(3)//4`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )
  1. For all values of theta , the values of 3- cos theta + cos ( theta +...

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  2. Maximum value of sin x cos (pi//4-x) is

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  3. The minimum value of cos^(3) x+ cos^(3) (120^(@) + x) + cos^(3) (120^...

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  4. ("Minimum of "(sin^(2) x+ cos^(2)x))/("Maximum of " [sin^(2) (3x//2)+c...

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  5. For x in R , 3 cos (4x-5) +4 lies in the interval

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  6. The range of 8 cos theta - 15 sin theta is

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  7. If A= cos theta + 2 sqrt(2) sin theta , then for all real values of t...

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  8. If y=1+4sin^2 x cos^(2) x , then

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  9. The value of cos theta + 3sqrt(2) sin ( theta + pi//4) + 6 lies betw...

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  10. If f(x)=sin^(6) x + cos^(6) x for x in R , then f(x) lies in the int...

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  11. Minimum value of 4 tan x + 9 cot x is

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  12. Minimum value of 5sec x + 4 tan x is

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  13. Minimum value of sin^(2) theta + "cosec"^(2) theta is

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  14. Minimum value of 24 cos^(2) x+ 16 sec^(2) x is

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  15. The least value of 4 sec^(2) theta + 9 " cosec"^(2) theta is

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

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  17. If 0 le theta le pi//2 then

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  18. Maximum value of sin x cos x is obtained at

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  19. Maximum value of cos x+ sqrt(3) sin x -2 is obtained at

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  20. Minimum value of cos x + sin x is obtained at

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