sin 3x =
3x = 30° atau 3x = 150°
( i ) Untuk 3x = 30° :
3x = 30° + (k).360°
x = 10° + (k).120°
» k = 0 : x = 10° + (0).120° = 10° + 0 = 10°
» k = 1 : x = 10° + (1).120° = 10° + 120° = 130°
» k = 2 : x = 10° + (2).120° = 10° + 240° = 250° tidak memenuhi syarat interval 0° < x < 180°
( ii ) Untuk 3x = 150° :
3x = 150° + (k).360°
x = 50° + (k).120°
» k = 0 : x = 50° + (0).120° = 50° + 0 = 50°
» k = 1 : x = 50° + (1).120° = 50° + 120 = 170°
» k = 2 : x = 50° + (2).120° = 50° + 240 = 290° tidak memenuhi syarat interval 0° < x < 180°
Jadi :
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sin 3x =
3x = 30° atau 3x = 150°
( i ) Untuk 3x = 30° :
3x = 30° + (k).360°
x = 10° + (k).120°
» k = 0 : x = 10° + (0).120° = 10° + 0 = 10°
» k = 1 : x = 10° + (1).120° = 10° + 120° = 130°
» k = 2 : x = 10° + (2).120° = 10° + 240° = 250° tidak memenuhi syarat interval 0° < x < 180°
( ii ) Untuk 3x = 150° :
3x = 150° + (k).360°
x = 50° + (k).120°
» k = 0 : x = 50° + (0).120° = 50° + 0 = 50°
» k = 1 : x = 50° + (1).120° = 50° + 120 = 170°
» k = 2 : x = 50° + (2).120° = 50° + 240 = 290° tidak memenuhi syarat interval 0° < x < 180°
Jadi :