NILAI SIN 105 + COS 15 = Mohon bantuannya ya!
Matematika
sayora23
Pertanyaan
NILAI SIN 105 + COS 15 =
Mohon bantuannya ya!
Mohon bantuannya ya!
1 Jawaban
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1. Jawaban dfn173
sin 105
sin (45+60)= sin 45°.cos 60°-cos 45°.sin60°
= (1/2 akar 2×1/2)-(1/2 akar 2×1/2 akar3)
=1/4 akar 2-1/4 akar 6
=1/4 (akar 2-akar 6)
= 1/4 akar -4
cos 15
cos (45-30) = cos 45.cos 30+sin 45.sin 30
= (1/2 akar 2×1/2 akar 3)+(1/2 akar 2×1/2)
= 1/4 akar 6 + 1/4 akar 2
= 1/4 (akar 6+akar 2)
= 1/4 akar 8
maka sin 105+cos 15 = 1/4 akar -4 + 1/4 akar 8
= 2/4 akar 4
= 1/2 akar 4
maaf kalau salah^^