Pertanyaan

Tentukan nilai sinus, cosinus, dan tangen untuk sudut P dan R pada setiap segitiga siku-siku di bawah ini. Nyatakan jawaban kamu dalam bentuk paling sederhana.

Tentukan nilai sinus, cosinus, dan tangen untuk sudut P dan R pada setiap segitiga siku-siku di bawah ini.

Nyatakan jawaban kamu dalam bentuk paling sederhana.

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Habis dalam

Klaim

S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

Jawaban terverifikasi

Pembahasan

Tentukan terlebih dahulu panjang sisi PR dengan menggunakan Teorema Pythagoras. Ingatlah bahwa: Sudut P Sudut R

Tentukan terlebih dahulu panjang sisi PR dengan menggunakan Teorema Pythagoras.

Ingatlah bahwa:

table attributes columnalign left center left end attributes row sinus equals cell depan over miring end cell row cosinus equals cell samping over miring end cell row tangen equals cell depan over samping end cell end table

Sudut P

$table attributes columnalign left center left end attributes row cell sinus space straight P end cell equals cell fraction numerator 2 over denominator square root of 5 end fraction end cell row cell sinus space straight P end cell equals cell fraction numerator 2 over denominator square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row cell sinus space straight P end cell equals cell fraction numerator 2 square root of 5 over denominator 5 end fraction end cell row space space space row cell cosinus space straight P end cell equals cell fraction numerator 1 over denominator square root of 5 end fraction end cell row cell cosinus space straight P end cell equals cell fraction numerator 1 over denominator square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row cell cosinus space straight P end cell equals cell 1 fifth square root of 5 end cell row space space space row cell tangen space straight P end cell equals cell 2 over 1 end cell row cell tangen space straight P end cell equals 2 end table$

Sudut R

$table attributes columnalign left center left end attributes row cell sinus space straight R end cell equals cell fraction numerator 1 over denominator square root of 5 end fraction end cell row cell sinus space straight R end cell equals cell fraction numerator 1 over denominator square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row cell sinus space straight R end cell equals cell 1 fifth square root of 5 end cell row space space space row cell cosinus space straight R end cell equals cell fraction numerator 2 over denominator square root of 5 end fraction end cell row cell cosinus space straight R end cell equals cell fraction numerator 2 over denominator square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row cell cosinus space straight R end cell equals cell 2 over 5 square root of 5 end cell row space space space row cell tangen space straight R end cell equals cell 1 half end cell end table$