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  • 07-07-2017
  • Mathematics
contestada

Express tan22.5 using cos45

Respuesta :

RickyChen
RickyChen RickyChen
  • 07-07-2017
cos45 = cos(2*22.5) = (cos22.5)^2 - (sin22.5)^2 = (cos22.5)^2 * (1-(tan22.5)^2)

 = (1 + cos45)/2 * (1-(tan22.5)^2)

Now, solve for tan22.5:

tan22.5 = sqrt(1 - 2cos45 / (1+cos45) )
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