Diketahui segitiga PQR siku-siku di Q. jika nilai sin p=1/3, tentukan nilai cos P dan tan P.

diketahui segitiga PQR siku-siku di Q. jika nilai sin p=1/3, tentukan nilai cos P dan tan P.

Jawabannya adalah cos P = 2/3 √2 dan nilai tan P = 1/4 √2

Konsep :
sin P = sisi depan sudut P/sisi miring sudut P
cos P = sisi samping sudut P/sisi miring sudut P
tan P = sisi depan sudut P/sisi samping sudut P

sisi samping = √(sisi miring² – sisi depan²)

Jawab :
Gambar bangun segitiganya dapat dilihat pada gambar di bawah.

Diketahui sin P = 1/3, maka :
sisi depan sudut P = QR = 1
sisi miring sudut P = PR = 3

sisi samping = √(sisi miring² – sisi depan²)
= √(3² – 1²)
= √(9-1)
= √8
= √(4×2)
= 2√2

cos P = sisi samping sudut P/sisi miring sudut P
= PQ/PR
= (2√2)/3
= 2/3 √2

tan P = sisi depan sudut P/sisi samping sudut P
= QR/PQ
= 1/(2√2)
= 1/(2√2) x √2/√2
= √2/(2. √2.√2)
= √2/(2.2)
= 1/4 √2

Jadi nilai nilai cos P = 2/3 √2 dan nilai tan P = 1/4 √2

diketahui segitiga PQR siku-siku di Q. jika nilai sin p=1/3, tentukan nilai cos P dan tan P.

Rekomendasi lainnya :

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