Mathematics

Question

Prove: cos(x+y)/cosxsiny=coty-tanx

2 Answer

  • The answer is popcorn because math pops when yew do it.
  • [tex]*\frac{cos(x+y)}{cos\ x\ sin\ y} =cot\ y-tan\ x\\\\ \frac{cos \ x \ cos \ y \ - \ sen \ x \ sen \ y}{cos \ x \ sin \ y} \\\\ \frac{cos \ x \ cos \ y}{cos \ x \ sin \ y} - \frac{sen \ x \ sen \ y}{cos \ x \ sin \ y} \\\\ Simplify \\\\ \frac{cos \ y}{sin \ y} - \frac{sen \ x}{cos \ x} \\\\ cot \ y -tan \ x= cot \ y -tan \ x [/tex]
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