Answer:
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[tex] \frac{cos \: 21 ° - sin \: 21 °}{cos21 ° + sin21 °} = cot \: 66 ° \\ \\ = \frac{cos \: 21 °(1 - tan \: 21 °)}{cos \: 21 °(1 - tan \: 21 °)} \\ \\ = \frac{1 - tan \: 21 °}{1 + tan \: 21 °} \\ \\ = \frac{tan \: 45 ° - tan \: 21 °}{1 + tan \: 45 ° \: tan \: 21 °} \\ \\ = tan(45 ° - 21 °) \\ \\ = tan \: 24 ° \\ \\ = tan \: (90 ° - 66 °) \\ \\ = cot \: 66 °[/tex]
Answer:
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