Evaluate \sin\frac{\pi}{4}.

Zerrilloh6 2021-12-21 Answered
Evaluate \(\displaystyle{\sin{{\frac{{\pi}}{{{4}}}}}}\).

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Expert Answer

Jonathan Burroughs
Answered 2021-12-22 Author has 2167 answers
By the Pythogoras theorem:
\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={1}\)
so, if x=y, we will have:
\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={1}\)
\(\displaystyle{2}{y}^{{{2}}}={1}\)
\(\displaystyle{y}^{{{2}}}={\frac{{{1}}}{{{2}}}}\)
\(\displaystyle{y}=\sqrt{{{\frac{{{1}}}{{{2}}}}}}={\frac{{\sqrt{{{2}}}}}{{{2}}}}\)
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ambarakaq8
Answered 2021-12-23 Author has 1295 answers

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={1}\)
\(\displaystyle{2}{y}^{{{2}}}={1}\)
\(\displaystyle{y}^{{{2}}}={\frac{{{1}}}{{{2}}}}\)
\(\displaystyle{y}=\sqrt{{{\frac{{{1}}}{{{2}}}}}}\)
\(\displaystyle{y}={\frac{{\sqrt{{{2}}}}}{{{2}}}}\)
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RizerMix
Answered 2021-12-29 Author has 9350 answers

\(\frac{\sqrt{2}}{2} \) is the answer.

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