Question

justifica cada paso en la demostracion de la identidad.

(sen(x)+(sen(x))/(cos⁡(x)))/(1+cos⁡(x))=tan(x)

Answer 1

tan(x y) = (tan x tan y) / (1  tan x tan y)

sen(2x) = 2 sen x cos x

cos(2x) = cos^2(x) - sen^2(x) = 2 cos^2(x) - 1 = 1 - 2 sen^2(x)

tan(2x) = 2 tan(x) / (1 - tan^2(x))

sen^2(x) = 1/2 - 1/2 cos(2x)

cos^2(x) = 1/2 + 1/2 cos(2x)

sen x - sen y = 2 sen( (x - y)/2 ) cos( (x + y)/2 )

cos x - cos y = -2 sen( (x-y)/2 ) sen( (x + y)/2 ) Estan Justificada