jika tan A = 4/3 dan A lancip maka nilai sin A + cos A =..?
Matematika
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Pertanyaan
jika tan A = 4/3 dan A lancip maka nilai sin A + cos A =..?
2 Jawaban
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1. Jawaban Anonyme
tanA = 4/3 → y= 4 dan x = 3
r = √(x² + y²) = √(3² + 4²) = 5
sinA + cosA = y/r + x/r
= 4/5 + 3/5
= 7/5 -
2. Jawaban Andiniregitaa
Tan A = Desa (depan/samping) (Gambar segitiga siku)
Tan A = 4/3
cari sisi miring
Sisi miring = √Depan^2 + Samping ^2
= √4^2 + 3 ^2
= √16 + 9
= √25
= 5
Sin A = Demi (depan/miring)
= 4/5
Cos A = Sami (samping/miring)
= 3/5
Sin A + Cos A = 4/5 + 3/5
= 7/5