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uday_zingtudor (931)

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Olaaa!! Perrrfect answer. 155  [233 rates]

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First find out tan(15/2)

cotA + tanA = 2cosec2A

now use cotA - tanA = 2cot2A

That gives you tanA = cosec2A - cot2A

We can know the value of tan15 using the formula tan(pi/4-A)=[1-tanA]/[1+tanA]

Plugging in those values you get tan15/2 as (31/2-21/2)(21/2-1)

Now we need tan165/2 that's tan(pi-15/2)

That gives the answer to be exactly
(31/2+21/2)(21/2+1)

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