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The minimum and maximum values of sin (x...

The minimum and maximum values of `sin (x+(pi)/(4) ) sin ( x - (pi)/(4))` are

A

`-1, 1`

B

`-(1)/(2), (1)/(2)`

C

`-(3)/(2), (3)/(2)`

D

`-(1)/(4), (1)/(4)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Lecture Sheet (Exercise - II) (Straight Objective Type Questions)
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  2. ( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in

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  3. If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k...

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  4. The minimum and maximum values of cos x + 3sqrt(2)sin(x+(pi)/(4)) + 6 ...

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  5. The minimum value of (1 )/( sqrt(7) sin x+ sqrt(29) cos x+ 7) is

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  6. If U=sqrt(a^(2)cos^(2) theta+ b^(2) sin^(2) theta)+ sqrt(b^(2)cos^(2) ...

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  7. Asserton (A ) : 2^(sin theta) + 2 ^(cos theta) le 2^(1-(1)/(sqrt(2)) ...

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  8. Let A = sin^(8) + cos^(14) theta , then for all real theta

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  9. The minimum value of 2costheta+(1)/(sintheta)+sqrt(2)tan theta in (0, ...

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  10. If 0 le x le (pi)/(3) then range of f(x) = sec ((pi)/(6) - x) + sec((p...

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  11. The maximum value of ( cos alpha1) ( cos alpha2) … ( cos alphan) under...

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  12. If tan x = n tan y, nin R' then the maximum value of sec^(2)(x-y) is e...

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  13. If ABC is a triangle and tan"" (A)/(2) , tan"" (B)/(2) , tan "" (C )/(...

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

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  15. If A ge 0, B ge 0, A + B = (pi)/(3) and y = tan A. tan B then

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

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

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  18. If a sin x + b cos ( x+ theta) + b cos ( x-theta)=d, then the minimum ...

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  19. The minimum vertical distance between the graphs of y = 2 + sin x and ...

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  20. Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x...

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