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Statement - I : Period of cos^(3) x...

Statement - I : Period of
`cos^(3) x + cos^(3) (120^(0) - x) + cos^(3) (120^(0) + x ) ` is `(pi)/(3)`
Statement -II : Period of
` cos((2pi x)/ 3 ) + sin((pix)/2) - tan ((pi x )/ 4) ` is 12
Which of the above statement is correct.

A

only I

B

only II

C

both I & II

D

neither I nor II

Text Solution

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The correct Answer is:
2
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AAKASH SERIES-PERIODICITY EXTREME VALUES AND GRAPHS -EXERCISE-I
  1. The period of (cot (x//4)+ tan(x//4))/(1+tan(x//2)-tanx) is

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  2. The period of ( tan theta -(1)/(3) tan^(3) theta ) ((1)/(3) - tan^(2) ...

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  3. The period of 3sin^(6) x + 5cos^(4) x is

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  4. The period of sin^(6) x + cos^(6) x is

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  5. The period of 3sin^(5) x + cos^(3) x is

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  6. The function whose period is 5pi is

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  7. The sine function whose period 3 is

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  8. The minimum and maximum values of cos theta + 2 sqrt(2) sin theta ...

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  9. Find the maximum and minimum values of 13 cos x + 3sqrt(3) sinx-4.

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  10. The maximum value of 3 cos theta + 4 sin theta is

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  11. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

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  12. the range of cos (x+ (pi)/(6)) cos (x-(pi)/(6)) is

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  13. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

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  14. The period of sin^3x + cos^3 x is

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  15. The period of the function f( theta ) = sin""(theta )/(3) + cos""(th...

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  16. If f(x)=sin^(2)((pi)/8 + (x)/2) -sin^2((pi)/8-(x)/(2)), then the perio...

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  17. For x in R , 3 cos (4x-5) +4 lies in the interval

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  18. Statement - I : Period of cos^(3) x + cos^(3) (120^(0) - x) + c...

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  19. Arrange the periods of the following functions in ascending order ...

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  20. If f : R to is definedby f(x ) =7 + cos (5x+3) for x E R then the...

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