Atividade
180----∏
x-------2/∏
x∏=180.2/∏=360/∏
x=360/∏. 1/∏
x=36°31´
02º)
360/6=6
30/6=5°
150°-5°=145° no relógio os graus são 150 menos 5 ° fica 145°.
03º) H=h+x
H=1,70+a tg
04º)tgB= h/x
X=h /tgB
TG=h/d+x
H=d.tg+x.tg
h/dtgB=h-d.tg /
h+tgB-htg=d.tg. tgB
x=360/∏/∏
x=360/9.85
h-tg
x=d.tg/tg
h.tg=h.tgB-d.tg=-d.tg.tgB.(-1)
H.(tgB-tg )=dtgtgB
h=d.tg2tgB/tgB-tg
05º) a.sen=420°
429/360
360
(60) sen60°=
b.Sen=750°
750/360=2
720
(30) sen30°=1/2
06º)
a.1630/360=4
( 190) °=190 °
b.23000/360=9
(140)=°=140°
c.-1430/360=-3
(350)=360-350=1°.
07º)
a.780/360=2
720
(60)
Cos60°=1/2
b.1200/360=3
1080
120°
Cos120°=-1/2
08º)=1
x=1-4.6/25
Cox=
Cox=±1/5
Secx=1/cosx
Sexc=1/-1/5=-5
09º)senx=-7/25 e ∏<x<3∏/2
Y=tgx-cosx/(1+cosx)(1-cosx)
Y=senx/ós.cosx/(1+cosx)(1-cosx)
Y=senx/(1+cosx)(1-cosx)
Y=senx/(1-24/25)(1+24/25)
Y=-7/25/(25/24/25)(25+24/25)
Y=-7/25/1/25.49/25
1-24/25
25-24/25
Y=-7/25.625/49
Y=-25/7
10º)
y = cossec α – sen α sen α – cos α
y = 1 - sen α sen α sen α – cos α
y = 1 – sen2 α sen α sen α – cos α
y = cos2 α sen α sen α – cos α
2 5 2 5 5 5
y = 5 - 2 5 5 5
Y = 4 5 5 - 5 5 y = 20 . – 5 5 5
y = - 100 5
y = - 20
tg α = sen α cos α
1 = sen α
2 cos α
Cos α = 2 sen α
Cos α = 2 . 5 5
sen2 α + cos α = 1 sen2 α + ( 2 sen2 α) = 1 sen2 α + 4 sen2 α = 1
5 sen2 α = 1 sen2 α = 1 5
sen α = ± 1 5
sen α = 1 5 5 5
sen α = 5