To convert radians to degrees, multiply by <math><mstyle displaystyle="true"><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> , since a full circle is <math><mstyle displaystyle="true"><mn>360</mn><mi>°</mi></mstyle></math> or <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> radians.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

The exact value of <math><mstyle displaystyle="true"><mi>sin</mi><mrow><mo>(</mo><mn>30</mn><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Convert to a decimal.

The angle is in the first quadrant.

Quadrant <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math>

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