Question

VALENDO 50 PONTOS!!POR FAVOR GENTE ME AJUDEM!! VCS CONSEGUEM VAMOS LÁ.
resolva as equações seguintes, sendo U= [0,2π]:

a) sen x =1/2
b) sen x = 0
c) sen x = -1
d) sen x = - √2/2
e) sen x = 2
$f)4.sen {}^{2} x - 3 = 0$

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Answer 1

a) sen x =1/2

x'=30°(π/6) , x"=180-30=150°(5π/6)

b) sen x = 0

x'=180°(π) , x"=360°(2π)

c) sen x = -1

x=270°(2π/3)

d) sen x = - √2/2

x'=180+45=225°(5π/4) , x"=315°(7π/4)

e) sen x = 2

S: { }

f)4.sen²x - 3 = 0

4sen²x=3

sen²x = 3/4

senx = √(3/4)

senx = ± √3/2 ↓

senx= +√3/2

x'=60°(π/3)

x"=180-60=120°(2π/3)

senx = -√3/2

x'"=180+60=240°(4π/3)

x""=360-60=300°(5π/3)