Rewrite <math><mstyle displaystyle="true"><mi>csc</mi><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow></mstyle></math> in terms of sines and cosines.

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Since <math><mstyle displaystyle="true"><mn>1</mn><mo>=</mo><mn>1</mn></mstyle></math> , the equation will always be true for any value of <math><mstyle displaystyle="true"><mi>θ</mi></mstyle></math> .

All real numbers

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