tamangmariya30
tamangmariya30 tamangmariya30
  • 12-07-2021
  • Mathematics
contestada

If cosх A/2 =3/5, find the value of cos A​

Respuesta :

jimrgrant1 jimrgrant1
  • 12-07-2021

Answer:

cosA = - [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

Using the double angle identity

cos2A = 2cos²A - 1 , then

cosA = 2cos²([tex]\frac{A}{2}[/tex] ) - 1 , that is

cosA = 2 × ([tex]\frac{3}{5}[/tex] )² - 1

        = 2 × [tex]\frac{9}{25}[/tex] - 1

       = [tex]\frac{18}{25}[/tex] - [tex]\frac{25}{25}[/tex]

       = - [tex]\frac{7}{25}[/tex]

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