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If A=sin^(8) theta + cos^(14) theta, the...

If `A=sin^(8) theta + cos^(14) theta`, then for all values of `theta`,

A

`Age1`

B

`0 lt A le1`

C

`1//2 lt A le 3//2`

D

none of these

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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)
  1. If f(x)=cos^(2)x+sec^(2)x, then

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

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  3. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

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  4. If theta , phi are acute, sin theta = 1//2 , cos phi = 1//3, then [ t...

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  5. The value of cos10^(@)-sin 10^(@) is

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  6. Which of the following is correct ?

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  7. Maximum value of 24 sin theta+7 cos theta is

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  8. The minimum value of 3 sin theta + 4 cos theta is

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  9. Maximum value of 3 cos theta + 4 sin theta is

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

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  11. Prove that the value of 5 cos theta + 3cos (theta + pi/3) +3 lies bet...

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  12. If ale 3 cos x + 5 sin ( x - pi //6) leb for all x, then (a,b ) =

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  13. If a cos theta - b sin theta = lambda, then AA real theta

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  14. sqrt( 3) sin x + cos x is maximum when x is

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  15. The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "...

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  16. Given 12 sin theta + 5 cos theta =2 x^(2) - 8 x +21 and theta and x a...

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  17. If cos 25^(@) + sin 25^(@) =0, then: cos 50^(@)=

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  18. The equation sin x ( sin x + cos x ) = k has real solution if and only...

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

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  20. cos2 theta+2 costheta is always

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