Ola joyce
cos(x) = 1/5
cos²(x) + sen²(x) = 1
1/25 + sen²(x) = 25/25
sen²(x) = 24/25
sen(x) = √24/5
sen(2x) = 2*sen(x)*cos(x) = 2*√24/5*1/5 = 2√24/25
cos(2x) = cos²(x) - sen²(x) = 1/25 - 24/25 = -23/25
tg(2x) = -2√24/23
cotg(2x) = -23/2√24 = -23√24/48
sec(2x) = -25/23
cossec(2x) = 25/2√24 = 25√24/48
pronto
muito obrigada ,me ajudou ,
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Answers & Comments
Ola joyce
cos(x) = 1/5
cos²(x) + sen²(x) = 1
1/25 + sen²(x) = 25/25
sen²(x) = 24/25
sen(x) = √24/5
sen(2x) = 2*sen(x)*cos(x) = 2*√24/5*1/5 = 2√24/25
cos(2x) = cos²(x) - sen²(x) = 1/25 - 24/25 = -23/25
tg(2x) = -2√24/23
cotg(2x) = -23/2√24 = -23√24/48
sec(2x) = -25/23
cossec(2x) = 25/2√24 = 25√24/48
pronto
muito obrigada ,me ajudou ,