Pertanyaan

Perhatikan gambar berikut. Nilai yang benar berdasarkan gambar tersebut adalah...

Perhatikan gambar berikut.

$\;$

Nilai yang benar berdasarkan gambar tersebut adalah... space

$tan space straight R equals fraction numerator 5 square root of 2 over denominator 5 end fraction$
$cos space straight R equals fraction numerator square root of 2 over denominator 2 end fraction$
$sin space straight R equals fraction numerator square root of 2 over denominator 5 end fraction$

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D. space

Pembahasan

Perhatikanpenghitungan berikut! Oleh karena itu, jawaban yang benar adalah D.

Perhatikan penghitungan berikut!

$QR equals square root of PR squared plus PQ squared end root QR equals square root of 5 squared plus 5 squared end root QR equals square root of 25 plus 25 end root QR equals square root of 25 cross times 2 end root QR equals 5 square root of 2 sin space straight Q equals fraction numerator sisi space depan over denominator sisi space miring end fraction equals fraction numerator 5 over denominator 5 square root of 2 end fraction equals fraction numerator 5 over denominator 5 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction equals fraction numerator 5 square root of 2 over denominator 10 end fraction equals fraction numerator square root of 2 over denominator 2 end fraction sec space straight Q equals fraction numerator sisi space miring over denominator sisi space samping end fraction equals fraction numerator 5 square root of 2 over denominator 5 end fraction sin space straight R equals fraction numerator sisi space depan over denominator sisi space miring end fraction equals fraction numerator 5 over denominator 5 square root of 2 end fraction equals fraction numerator 5 over denominator 5 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction equals fraction numerator 5 square root of 2 over denominator 10 end fraction equals fraction numerator square root of 2 over denominator 2 end fraction cos space straight R equals fraction numerator sisi space samping over denominator sisi space miring end fraction equals fraction numerator 5 over denominator 5 square root of 2 end fraction equals fraction numerator 5 over denominator 5 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction equals fraction numerator 5 square root of 2 over denominator 10 end fraction equals fraction numerator square root of 2 over denominator 2 end fraction tan space straight R equals fraction numerator sisi space depan over denominator sisi space samping end fraction equals 5 over 5 equals 1$

Oleh karena itu, jawaban yang benar adalah D. space