ArayrNe4renui ArayrNe4renui

13-10-2016
Mathematics

contestada

What is the exact value of cos 5pi/4 radians?

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HomertheGenius HomertheGenius

22-10-2016

π radians = 180°
5 π / 4 = 5 · 180° / 4 = 900° / 4 = 225°
cos ( 5π/4 ) = cos 225°
With the unit circle we can find the exact value:
cos 225° = - √2 / 2 ≈ - 0.7071

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