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The maximum value of sin^(2) x+ 2 sin x...

The maximum value of `sin^(2) x+ 2 sin x +3 ` is

A

0

B

`2`

C

`3`

D

6

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Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )
  1. The minimum value of 3 sin^2x + 4 cos^(2) x is

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  2. The minimum value of 2 sin^(2) x-cos2x is

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  3. The maximum value of sin^(2) x+ 2 sin x +3 is

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  4. The minimum value of 2 cos x - 3 cos^(2) x +5 is

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  5. The maximum value of cos 2 x + cos^(2) x is

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  6. The maximum value of cos^(4) x-sin^4x is

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  7. The minimum value of sin^(6) x + cos^(6) x is

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  8. The minimum value of 1-8sin^(2) x cos^(2) x is

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  9. The minimum value of 1+8sin^(2) x^(2) cos^(2)x^(2) is

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

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

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

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

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

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

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

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

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

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

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

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