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If 4n alpha=pi, then the value of tan al...

If `4n alpha=pi`, then the value of `tan alpha tan 2alpha tan 3 alpha…… tan (2n-1)alpha` is

A

`-1`

B

0

C

1

D

none of these

Text Solution

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The correct Answer is:
c
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MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
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  2. If n in N and sin((pi)/(2n))+cos((pi)/(2n))=(sqrt(n))/(2), then a poss...

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  3. If 4n alpha=pi, then the value of tan alpha tan 2alpha tan 3 alpha…… t...

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  4. If x gt0 and |(x, sin theta, cos theta),(-sin theta, x, 1),(cos theta,...

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  5. If 2tan(pi//3) cos (2pi x)=sqrt(3), the general solution of the equati...

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  6. 2cos^(2)x+4cosx=3sin^(2)x if

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  7. 6tan^(2)x-2cos^(2)x=cos2x if

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  8. The greatest value of cos theta for which cos 5 theta=0 is

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  9. If tan p theta= tan q theta, then the values of theta form an A.P. wit...

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  10. The equation int(0)^(x).(t^(2)-8t+13) dt =x sin(a//x) has a solution i...

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  11. The smallest positive root of the equation sqrt(sin(1-x))=sqrt(cosx)...

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  12. The sum of the roots of the equation 4cos^(3)x-4cos^(2)x-cos(pi+x)-1...

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  13. A solution (x, y) of x^(2)+2x sin xy+1=0 is

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  14. e^(sinx)-e^(-sinx)=4 for

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  15. The number of values of x satisfying the condition sin x +sin 5x=sin3x...

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  16. sin x, sin2x, sin3x are in A.P. if

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  17. 2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x) if

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  18. Number of solutions of the equation 4 sin^(2)x+tan^(2)x+cot^(2)x+"cose...

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  19. Sum of integral values of n such that sinx (2sin x+cosx)=n, has at le...

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  20. If 0 lt x lt pi//2 and sin(2 sin x)=cos(2 cos x) then tan x+cotx=(a)/...

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