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Which ray is the terminal side of a -90^circ angle in standard position? positivex-axis positive y-axis negative x-axis negative y-axis

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Which ray is the terminal side of a -90^circ  angle in standard position?
positivex-axis
positive y-axis
negative x-axis
negative y-axis

Which ray is the terminal side of a -90^circ angle in standard position? positivex-axis positive y-axis negative x-axis negative y-axis

Solución

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Gustavoélite · Tutor durante 8 años
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The terminal side of a $-90^{\circ }$ angle in standard position is the negative y-axis.

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## Step 1<br />In trigonometry, an angle in standard position is defined as an angle whose vertex is at the origin and its initial side lies along the positive x-axis. The terminal side of the angle is determined by the rotation of the angle from the initial side.<br /><br />## Step 2<br />A negative angle indicates a clockwise rotation from the initial side. <br /><br />## Step 3<br />A $-90^{\circ }$ angle means a clockwise rotation of 90 degrees from the positive x-axis. <br /><br />## Step 4<br />After a 90-degree clockwise rotation, the terminal side of the angle would be along the negative y-axis.
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