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Find the value of tan. pi/20tan. (3pi)/2...

Find the value of `tan. pi/20tan. (3pi)/20tan. (5pi)/20tan. (7pi)/20tan. (9pi)/20`.

Text Solution

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The correct Answer is:
1
`tan.(pi)/20tan.(3pi)/20tan.(5pi)/20tan.(7pi)/20tan.(9pi)/20`
`tan.(pi)/20tan.(3pi)/2tan.pi/4tan(pi/2-(3pi)/20)tan(pi/2-pi/20)`
`tan.(pi)/20tan.(3pi)/2(1) cot ((3pi)/20)cot(pi/20)`
=1
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