Penjelasan dengan langkah-langkah:
1) Cos 330° → cos di kuadran 4 positif
= cos (360° – 30°)
= cos 30°
2) sec 315° → sec dikuadran 4 positif
= sec (360 – 45)°
= sec 45°
3) sin 120° + cos 210° – tan 225°
positif + negatif – positif
= sin (180° – 60°) + cos (180° + 30°) – tan (270° – 45°)
= sin 60° – cos 30° – tan 45°
= √3 – √3 – 1
2 2
= 0 – 1
4) 4 tan 45° – 2 cos 60° + √3 sin 60°
= 4 × 1 – 2 × 1 + √3 × √3
= 4 – 2 + √9
= 4 – 1 + 3
2
= 3 + 1½
5) sin 300° × cos 135°
tan 225°
= sin (360 – 60)° × cos (180 – 45)°
tan (180 + 45)°
= – sin 60° × ( – cos 45°)
tan 45°
– √3 × (– √2 )
= 2 2
1
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Penjelasan dengan langkah-langkah:
1) Cos 330° → cos di kuadran 4 positif
= cos (360° – 30°)
= cos 30°
= √3
2
2) sec 315° → sec dikuadran 4 positif
= sec (360 – 45)°
= sec 45°
= √2
3) sin 120° + cos 210° – tan 225°
positif + negatif – positif
= sin (180° – 60°) + cos (180° + 30°) – tan (270° – 45°)
= sin 60° – cos 30° – tan 45°
= √3 – √3 – 1
2 2
= 0 – 1
= – 1
4) 4 tan 45° – 2 cos 60° + √3 sin 60°
= 4 × 1 – 2 × 1 + √3 × √3
2 2
= 4 – 2 + √9
2 2
= 4 – 1 + 3
2
= 3 + 1½
= 4½
5) sin 300° × cos 135°
tan 225°
= sin (360 – 60)° × cos (180 – 45)°
tan (180 + 45)°
= – sin 60° × ( – cos 45°)
tan 45°
– √3 × (– √2 )
= 2 2
1
= √6
4