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Calculați (Ex in imagine)

Calculați Ex In Imagine class=

Răspuns :

Salut,

x ; y € C II

sin x = 4/5
cos y = -3/5.

sin²x+cos²x = 1
16/25+cos²x = 1
cos²x = 9/25
cos x = -3/5.

sin²y+cos²y = 1
sin²y+9/25 = 1
sin²y = 16/25
sin y = 4/5.

sin (x-y) = sin x • cos y - sin y • cos x
= 4/5•(-3/5)-4/5•(-3/5) = -12/25+12/25 = 0.

sin 2x = 2 sin x • cos x = 2•4/5•(-3/5) = -8/5•3/5 = -24/25.



Succes! :3