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Let A=sin^8theta+cos^14theta, " then "A(...

Let `A=sin^8theta+cos^14theta, " then "A_("max")` is

A

1

B

`1/2`

C

`3/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
We know that `0 le sin^2thetale1`
`rArr sin^8thetagesin^2theta`
Similarly, `cos^14thetalecos^2theta`
On adding, we get
`sin^8theta+cos^14thetalesin^2theta+cos^2theta`
`orsin^8theta+cos^14thetalt1`
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CENGAGE-TRIGONOMETRIC FUNCTIONS -Exercise (Single)
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  2. The set of values of lambda in R such that sin^2theta+costheta=lambda...

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  3. Let A=sin^8theta+cos^14theta, " then "A("max") is

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  11. If (3pi)/4,sqrt(2cotalpha+1/(sin^2alpha)) is equal to 1+cotalpha (b) ...

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  12. The value of sectheta/sqrt(1-cos^2x)+cosx/(sqrt(1+cot^2theta))" for "...

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  13. The minimum value of the function f(x)=sinx/(sqrt(1-cos^2x))+cosx/sqrt...

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  14. If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek, then the ...

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  15. In which of the following intervals the inequality, sinx < cos x < tan...

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  16. Th range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-o...

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  17. The value of cospi/7+cos(2pi)/7+cos(3pi)/7+cos(4pi)/7+cos(5pi)/7+cos(6...

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