kak tolong jawabkan napa kak lembar kerja siswa 2.1 nomor 1 sampai 3 please dong kak
Matematika
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Pertanyaan
kak tolong jawabkan napa kak lembar kerja siswa 2.1 nomor 1 sampai 3 please dong kak
1 Jawaban
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1. Jawaban asobri68
1.a. sin 100° = 0.98480775
b. cos 124° = -0.5591929
c. tan 375° = tan (((24+1)/12)*180°)
= tan (((24/12)+(1/12))*180°)
= tan (180°*((2+(1/12))*180°)
= tan (-0+(1/12))*180°)
= tan ((1/12)*180°)
= tan (15°)
= tan (30°/2)
tan (x/2) = √((1-cos x°)/(1+cos x°))
tan (30°/2) = √((1-cos 30°)/(1+cos 30°))
tan (30°/2) = √((1-(√3/2))/(1+(√3/2)))
tan (30°/2) = √(7-4√3)
1.d. cotan 200° = 1/ tan 200°
tan 200° = tan (((9+1)/9)180°)
= tan (((9/9)+(1/9))180°)
= tan (180°+((1/9)180°))
= tan ((1/9)180°)
= tan (20°)
cotan (200°) = 1/ tan (200°)
cotan (200°) = 1/ tan (20°)
1.e. sec (345°) = 1/ cos (345°)
cos (345°) = sin(90° - 345°)
= sin(-255°)
= -sin(255°)
= -sin(180°+75°)
= - sin(180°) cos (75°) + cos(180°) sin(75°)
cos (75°) = cos(30°+ 45°)
= cos(30°) cos (45°) - sin(30°) sin(45°)
= (√3/2) (√2/2) - (1/2) (√2/2)
= (√6-√2)/4
sin (75°) = sin(30°+ 45°)
= sin(30°) cos (45°) + cos(30°) sin(45°)
= (1/2)(√2/2) + (√3/2)(√2/2)
= (√2+√6)/4
Jadi :
cos (345°) = - sin(180°) cos (75°) + cos(180°) sin(75°)
= - (0)((√6-√2)/4) + (-1)((√2+√6)/4)
= (-√2+√6)/4
sec 345 = 1/cos 345
= -1/(-√2+√6)/4
= - √2+√6