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Given that (1+tan1^@)(1+tan2^@)+...........

Given that `(1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n `find n .

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`n=23`
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ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

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  2. cos^6(pi/16)+cos^6(3pi/16)+cos^6(5pi/16)+cos^6(7pi/16)

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  3. tan1 0^(@)-tan5 0^(@)+tan7 0^(@)

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