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The minimum value of sin x sin(60^@ -x) ...

The minimum value of `sin x sin(60^@ -x) sin(60^@ + x)` is

A

`-1//4`

B

`1//4`

C

`3//4`

D

`-3//4`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )
  1. The minimum value of 1+8sin^(2) x^(2) cos^(2)x^(2) is

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

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  3. The minimum value of sin x sin(60^@ -x) sin(60^@ + x) is

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

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

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  6. The maximum value of sin^(2)""((pi)/(3) + pi) +sin^(2)""((pi)/3-x) is

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  7. The minimum value of cos^(2)((pi)/3-x)-cos^(2)((pi)/3+x) is

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  8. Maximum and minimum value of sin^(2)(120^(@) + theta ) + sin^(2) (120^...

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  9. The minimum of cos^(2)(120^(@) + x)+ cos^(2) (120^(@) -x) is

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  10. The maximum value of cos^(2)(pi//4-x)+(sinx-cosx)^(2) is

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  11. Minimum value of cos^(2)(pi//4+x)+(sin x-cos x)^(2) =

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  12. The minimum value of 5 cos theta + 3 cos ( theta + pi//3) + 3 is

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  13. The maximum of 5 cos x + 3 cos ( x-60^(@)) + 7 is

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  14. The minimum value of 5 cos x + 3 cos (x+pi//3) +8 is

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  15. For all values of theta , the values of 3- cos theta + cos ( theta +...

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

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

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

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

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

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