Explain how to find the value of sin 390^{\circ} using periodic properties.

tricotasu 2021-08-19 Answered
Explain how to find the value of sin \(\displaystyle{390}^{{\circ}}\) using periodic properties.

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Expert Answer

hesgidiauE
Answered 2021-08-20 Author has 16664 answers
Step 1
Use \(\displaystyle{\sin{{\left({360}+\alpha\right)}}}={\sin{\alpha}}\)
Step 2
\(\displaystyle{\sin{{390}}}\)
\(\displaystyle={\sin{{\left({360}+{30}\right)}}}\)
\(\displaystyle={\sin{{30}}}\)
\(\displaystyle={\frac{{{1}}}{{{2}}}}={0.5}\)
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