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Find the period of tan(x+4x+9x+.......+...

Find the period of `tan(x+4x+9x+.......+n^2x)` (n any positive integer)

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The correct Answer is:
Period `=(6pi)/(n(n+1)(2n+1)`
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SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-VSAQ
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  2. Find the period of f(x)=cos ((4x+9)/(5))

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  3. Find the period of tan(x+4x+9x+.......+n^2x) (n any positive integer)

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  4. Find the period of tan5x.

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  5. Find the period of f(x)=2sin. (pix)/(4)+3cos .(2pi)/(3)

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  6. Find the period of cos^(4)x.

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  7. Find a cosine function whose period is 7.

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  8. Find a sine function whose period is 2//3.

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  9. Find the minimum and maximum values of 3 cos x + 4 sin x

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  10. Find the maximum and minimum value of f(x) = 5sinx + 12cos x -13.

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  11. Find the range of 13cosx+3sqrt3 sin x-4

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  12. Find the extreme values of cos 2x+cos^2x

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  13. Find the extreme values of 3sin^(2)x+5cos^(2)x.

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  14. In Delta Prove that tan A+tan B+ tan C =tan A tan B tan C.

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  15. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

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  16. If A+B=45^(@), then prove that (i) (1+ tan A) (1+ tan B) =2 (ii) (cot...

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