csanchez70168 csanchez70168
  • 15-09-2020
  • Mathematics
contestada

(1 + COS X/1 – COS X) - (1 - COS X/1 + COS X) = 4 cot x CSC X

Respuesta :

lifelongknowledge62 lifelongknowledge62
  • 15-09-2020

Answer:

1 + cosx   -    1 - cosx    

1-cosx            1+cosx

Multiplying by conjugate

1 + cosx * 1+cosx  -    1 - cosx * 1-cosx  

1-cosx       1+cosx        1+cosx     1 -cosx

(1+cosx)²   - (1-cosx)²

1- cos²x          1- cos²x

1 + 2cosx + cos²x -(1 - 2cosx + cos²x)

                1-cos²x

4cosx    =    4 cosx . 1          4 cotx cosecx

sin²x                sinx   sinx

Step-by-step explanation:

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