\(tan4\theta.tan6\theta=1 \)হলে \(tan5\theta\)=?
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\(tan4\theta.tan6\theta=1 \)
বা, \(tan4\theta=\cfrac{1}{tan6\theta} \)
বা, \(tan4\theta= cot 6\theta \)
বা, \(tan4\theta= tan(90^o- 6\theta) \)
বা, \(4\theta= 90^o- 6\theta \)
বা, \(4\theta+6\theta= 90^o \)
বা, \(10\theta= 90^o \)
বা, \(\theta= 9^o \)
\(\therefore 5\theta= 5\times 9^o \)
বা, \(tan 5\theta= tan 45^o =1 \)
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