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Find the sign of the given value without the use of a calculator. cos314^circ The sign of cos314^circ is square

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Find the sign of the given value without the use of a calculator.
cos314^circ 
The sign of cos314^circ  is square

Find the sign of the given value without the use of a calculator. cos314^circ The sign of cos314^circ is square

Solução

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Luciana MariaEspecialista · Tutor por 3 anos

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To determine the sign of $\cos 314^{\circ}$ without using a calculator, we need to understand the properties of the cosine function and the unit circle.<br /><br />The cosine function is positive in the first and fourth quadrants of the unit circle. Since $314^{\circ}$ is in the fourth quadrant (between $270^{\circ}$ and $360^{\circ}$), the cosine of this angle will be positive.<br /><br />Therefore, the sign of $\cos 314^{\circ}$ is positive.
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