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For any real theta, the maximum value of...

For any real `theta`, the maximum value of `cos^(2) ( cos theta) + sin^(2) (sin theta)` is

A

`1`

B

`1+ sin^(2) 1`

C

`1 + cos^(2) 1`

D

does not exist

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PERIODICITY AND EXTEME VALUES-LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Single answer type questions
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  4. If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k...

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  10. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

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  11. If A gt 0 , B gt 0 and A+B = (pi)/(6), then the minimum value of tan A...

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  12. If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + co...

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  14. The maximum value of expression |sqrt(sin^(2)x+2a^(2))-sqrt(2a^(2)-1-c...

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