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Minimum value of y=256sin^2x+324cos e c^...

Minimum value of `y=256sin^2x+324cos e c^2xAAx in R` is 432 (b) 504 (c) 576 (d) 776

A

432

B

504

C

576

D

776

Text Solution

Verified by Experts

The correct Answer is:
C
`y=256sin^2x+324 cosec^2x`
`=(16sinx-18cosecx)^2+576ge576`
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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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  4. Minimum value of y=256sin^2x+324cos e c^2xAAx in R is 432 (b) 504 ...

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  5. If aa n db are positive quantities such that a > b , the minimum value...

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  6. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

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  7. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2 x+cot^2...

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  8. If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, th...

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  9. If cos^2x-(c-1)cosx+2cgeq6 for every x in R , then the true set of va...

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  10. If the inequality sin^(2) x+a cos x+a^(2) gt 1+ cos x holds for any x ...

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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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  18. The numerical value of tanpi/3+2tan(2pi)/3+4tan(4pi)/3+8tan(8pi)/3 is ...

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  19. about to only mathematics

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  20. The value of the expression log10(tan6^@)+log10(tan12^@)+log10(tan18^@...

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