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Prove that 3/4 le sin^(2)theta +cos^(4) ...

Prove that `3/4 le sin^(2)theta +cos^(4) theta le 1` for all real `theta`.

A

`1le Ale2`

B

`3//4 le A le1`

C

`13//16 le A le1`

D

`3//4 leA le 13//16`

Text Solution

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The correct Answer is:
B
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (2) ( MULTIPLE CHOICE QUESTIONS)
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  10. Maximum value of 3 cos theta + 4 sin theta is

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  11. The minimum value of 3 cos x+4 sin x+8 is:

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  20. The maximum value of 12 sin theta -9 sin ^(2) theta is

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