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21 votes
21 votes
use reference angle to find the exact value of the expression, do not use a calculator cos 225 degrees

User TallGuy
by
3.0k points

1 Answer

8 votes
8 votes

To find


\cos 225^o

Now,


\begin{gathered} \cos 225^o=\cos (180^o+45^o)^{} \\ =\cos (2*90^o+45^o) \\ =-\cos 45^o \\ =-\frac{1}{\sqrt[]{2}} \end{gathered}

So, the required value is


-\frac{1}{\sqrt[]{2}}

User BAR
by
2.9k points