Rewrite <math><mstyle displaystyle="true"><mi>tan</mi><mrow><mo>(</mo><mn>270</mn><mo>)</mo></mrow></mstyle></math> in terms of sines and cosines.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

The exact value of <math><mstyle displaystyle="true"><mi>cos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow></mstyle></math> is <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

The expression contains a division by <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> The expression is undefined.

Undefined

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