To convert degrees to radians, multiply by <math><mstyle displaystyle="true"><mfrac><mrow><mi>π</mi></mrow><mrow><mn>180</mn><mi>°</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.

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>178</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.

Combine <math><mstyle displaystyle="true"><mn>89</mn></mstyle></math> and <math><mstyle displaystyle="true"><mfrac><mrow><mi>π</mi></mrow><mrow><mn>90</mn></mrow></mfrac></mstyle></math> .

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