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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//2`

C

2

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
A
`alpha+2alpha+4alpha=7alpha=(pi)/(2)`
`therefore tan alpha. Tan 2 alpha+tan 2 alpha. Tan 4 alpha+tan alpha. Tan 4 alpha=1`.
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CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Single)
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