ahanc6326 ahanc6326
  • 07-04-2024
  • Mathematics
contestada

please solve this problem/ simplify

tan a+ cot a

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 07-04-2024

Answer:

sec a csc a

Step-by-step explanation:

tan a + cot a =

= sin a / cos a + cos a / sin a

= sin² a / (sin a cos a) + cos²a / (sin a cos a)

= (sin² a + cos²a) / (sin a cos a)

= 1 / (sin a cos a)

= sec a csc a

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