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Diberikan fungsi f ( x ) = sin ( x + 9 0 ∘ ) , untuk setiap 0 ∘ ≤ x ≤ 36 0 ∘ . Untuk semua sudut-sudut istimewa, tentukan nilai fungsi.

Diberikan fungsi , untuk setiap . Untuk semua sudut-sudut istimewa, tentukan nilai fungsi.

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nilai

nilai begin mathsize 14px style f open parentheses x close parentheses equals open curly brackets negative 1 comma negative 1 half square root of 3 comma negative 1 half square root of 2 comma negative 1 half comma 0 comma 1 half comma 1 half square root of 2 comma 1 half square root of 3 comma 1 close curly brackets end style

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Jadi, nilai

begin mathsize 14px style x equals open curly brackets 0 degree comma 30 degree comma 45 degree comma 60 degree comma 90 degree comma 120 degree comma 135 degree comma 150 degree comma 180 degree comma 210 degree comma 225 degree comma 240 degree comma 270 degree comma 300 degree comma 315 degree comma 330 degree comma 360 degree close curly brackets f open parentheses x close parentheses equals sin left parenthesis x plus 90 degree right parenthesis x equals 0 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 0 degree plus 90 degree close parentheses equals sin 90 degree equals 1 x equals 30 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 30 degree plus 90 degree close parentheses equals sin 120 degree equals 1 half square root of 3 x equals 45 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 45 degree plus 90 degree close parentheses equals sin 135 degree equals 1 half square root of 2 x equals 60 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 60 degree plus 90 degree close parentheses equals sin 150 degree equals 1 half x equals 90 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 90 degree plus 90 degree close parentheses equals sin 180 degree equals 0 x equals 120 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 120 degree plus 90 degree close parentheses equals sin 210 degree equals negative 1 half x equals 135 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 135 degree plus 90 degree close parentheses equals sin 225 degree equals negative 1 half square root of 2 x equals 150 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 150 degree plus 90 degree close parentheses equals sin 240 degree equals negative 1 half square root of 3 x equals 180 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 180 degree plus 90 degree close parentheses equals sin 270 degree equals negative 1 x equals 210 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 210 degree plus 90 degree close parentheses equals sin 300 degree equals negative 1 half square root of 3 x equals 225 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 225 degree plus 90 degree close parentheses equals sin 315 degree equals negative 1 half square root of 2 x equals 240 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 240 degree plus 90 degree close parentheses equals sin 330 degree equals negative 1 half x equals 270 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 270 degree plus 90 degree close parentheses equals sin 360 degree equals 0 x equals 300 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 300 degree plus 90 degree close parentheses equals sin 390 degree equals 1 half x equals 315 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 315 degree plus 90 degree close parentheses equals sin 405 degree equals 1 half square root of 2 x equals 330 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 330 degree plus 90 degree close parentheses equals sin 420 degree equals 1 half square root of 3 x equals 360 degree rightwards arrow f open parentheses x close parentheses equals sin open parentheses 360 degree plus 90 degree close parentheses equals sin 450 degree equals 1 end style

Jadi, nilai begin mathsize 14px style f open parentheses x close parentheses equals open curly brackets negative 1 comma negative 1 half square root of 3 comma negative 1 half square root of 2 comma negative 1 half comma 0 comma 1 half comma 1 half square root of 2 comma 1 half square root of 3 comma 1 close curly brackets end style

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