The expression reduces to

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The expression

\log_2 5-\sum_{k=1}^{4}\log_2\left(\sin\left(\frac{k\pi}{5}\right)\right)

reduces to

\frac{p}{q}

, where

p

and

q

are coprime. The value of

p^2+q^2

is: (1) 13 (2) 17 (3) 26 (4) 29

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