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For all values of theta , the values of...

For all values of `theta ` , the values of ` 3- cos theta + cos ( theta + (pi)/(3))` lie in the interval

A

`[-2,3]`

B

`[-2,1]`

C

`[2,4]`

D

`[1,5]`

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

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

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

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

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

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

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

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

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

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

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