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If n=pi/(4alpha), then tanalpha tan 2alp...

If `n=pi/(4alpha),` then `tanalpha tan 2alpha tan 3 alpha........tan(2n-1)alpha` is equal to

A

1

B

`-1`

C

`oo`

D

None of these

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The correct Answer is:
A
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DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-1
  1. f(x)=(sin x^(7)) e^(x^(5)). Sgn( x^(9)) is:

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  2. The value of (cot 54^(@))/(tan 36^(@)) + (tan 20^(@))/(cot 70^(@)) is

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  3. If n=pi/(4alpha), then tanalpha tan 2alpha tan 3 alpha........tan(2n-1...

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  4. Value of 2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) .cos^(2) "" ...

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  5. If cos7theta=costheta-sin4theta, then the general value of theta is

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  6. General solution of tan 5 theta =

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  7. If cos theta + cos 2 theta + cos 3 theta = 0 then the general value ...

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  8. Domain of the function f (x) = sqrt ((1)/( sin x )-1) is

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  9. The solution of tan ^(2) 9x = cos 2x -1 is

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  10. The number of points of intersection of the two curves y=2 sin x and...

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  11. If sqrt3tan2theta+sqrt(3)tan3theta+tan2thetatan3theta=1 then the gener...

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  12. If sin(pi cos theta) = cos(pi sin theta), then of the value cos(th...

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  13. The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3...

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  14. If : sin 5x + sin 3x + sin x = 0, where 0 lt x le (pi)/2, then : x =

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  15. the general solution of sin^2thetasectheta+sqrt3 tantheta=0 is

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  16. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

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  17. The number of points of intersection of the curves 2y =1 " and " y = "...

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  18. If pn = cos^n theta + sin^n theta then pn - p(n-2) = k p(n-4) where k

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  19. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

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  20. In a triangle tan A+ tan B + tan C=6 and tan A tan B= 2, then the valu...

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