Tricky Trig

Geometry Level 1

Find the value of

cos 2 4 5 + sin 2 4 5 . \cos^2 45^{\circ} +\sin^2 45^{\circ}.

0 0 1 2 \frac { 1 }{ 2 } 2 2 \frac { \sqrt { 2 } }{ 2 } 1 1

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1 solution

Eli Ross Staff
Sep 28, 2015

By the Pythagorean Identities , sin 2 ( x ) + cos 2 ( x ) = 1 \sin^2(x)+\cos^2(x)=1 for all x . x.

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